# Calculating the Mean or Expected Value of the Sum of Two Random Variables

• 1.

John traveled from his house to the park and then to school every day. In a week, the distance traveled from his house to the park has a mean of {eq}25 \text{ km} {/eq}. And, the distance he traveled from the park to the school has a mean of {eq}32 \text{ km} {/eq}. What is the expected value of the total distance that he traveled in a week?

• {eq}9.3\text{ km } {/eq}

• {eq}28.5\text{ km } {/eq}

• {eq}7\text{ km } {/eq}

• {eq}57\text{ km } {/eq}

• 2.

Michael has two teams to mow his lawn. Team 1 mows at the mean of {eq}10000\text{ sq. ft}, {/eq} and team 2 mows at the mean of {eq}12000\text{ sq. ft} {/eq} within 5 hours. What is the expected value of the total square feet of lawn that mow by both teams?

• {eq}1000\text{ sq.ft } {/eq}

• {eq}2000\text{ sq.ft } {/eq}

• {eq}11000\text{ sq.ft } {/eq}

• {eq}22000\text{ sq.ft } {/eq}

• 3.

In the amusement park, the adult tickets sold have a mean of {eq}2230 {/eq}, and the children's tickets sold have a mean of {eq}1054 {/eq} in a month. Find the expected value of the total tickets that have been sold in a month.

• 1176

• 3284

• 3824

• 1642

• 4.

An ice cream machine can make two different flavors of ice cream at a time. It produces a mean of {eq}80 {/eq} cones of ice cream in one flavor and a mean of {eq}90 {/eq} cones of ice cream in another flavor in 6 hours. What is the excepted value of ice cream that the machine can make in both flavors in 6 hours?

• 170

• 150

• 10

• 85

• 5.

Mary goes shopping every weekend. This month, she bought clothes for a mean of {eq}\$200 {/eq} and other cosmetics at a mean of {eq}\$800 {/eq}. Determine the expected value of her total purchase in a month.

• {eq}\$500 {/eq} • {eq}\$900 {/eq}

• {eq}\$600 {/eq} • {eq}\$1000 {/eq}

• 6.

In a mill, the mean of grinding grains is {eq}30\text{ tons} {/eq} in the day shift, and the mean of grinding grains is {eq}20\text{ tons} {/eq} in the night shift. Determine the mean value of the total grinding of grains per day.

• {eq}25\text{ tons } {/eq}

• {eq}10\text{ tons } {/eq}

• {eq}60\text{ tons } {/eq}

• {eq}50\text{ tons } {/eq}

• 7.

The mean of people buying sweet popcorns is {eq}900, {/eq} and the mean of people buying savory popcorns is {eq}1350 {/eq}. Determine the excepted value of both popcorns.

• 450

• 1125

• 2250

• 540

• 8.

A baker who bakes {eq}50 {/eq} cupcakes in chocolate and pistachio flavors. He spends money on preparing the chocolate cakes that has a mean of {eq}\$130 {/eq} and on preparing the pistachio cakes that has a mean of {eq}\$150 {/eq}. What is the expected value of money spent on both flavors of cake?

• {eq}\$20 {/eq} • {eq}\$280 {/eq}

• {eq}\$40 {/eq} • {eq}\$140 {/eq}

• 9.

In a vehicle showroom, the number of two-wheelers sold in the first half of the month has a mean of {eq}67 {/eq} and in the second half of the month has a mean of {eq}31 {/eq}. What is the expected value of the number of two-wheelers sold in a month?

• 88

• 98

• 77

• 66

• 10.

There are 5 houses in a building. The cost of painting the interiors of the houses has a mean of {eq}\$620 {/eq} and the exterior of the houses has a mean of {eq}\$450 {/eq}. What is the mean value of the total expense of painting the entire house?

• {eq}\$355 {/eq} • {eq}\$535 {/eq}

• {eq}\$1070 {/eq} • {eq}\$1700 {/eq}

• 11.

Mary bakes chocolate chip cookies and macaron cookies for a total of {eq}25 {/eq} cookies. She spends a mean of {eq}\$14.3 {/eq} for chocolate chip cookies and a mean {eq}\$25.6 {/eq} for macaron cookies. What is the expected value of money that she spent on both types of cookies?

• {eq}\$32.2 {/eq} • {eq}\$ 11.3 {/eq}

• {eq}\$19.5 {/eq} • {eq}\$ 39.9 {/eq}

• 12.

There are five screens in the theater. The revenue from the morning show has a mean of {eq}\$1725, {/eq} and the revenue from the night show has a mean of {eq}\$ 2250. {/eq} Calculate the expected value of the total revenue from both shows in a day.

• {eq}\$837 {/eq} • {eq}\$ 3975 {/eq}

• {eq}\$1520 {/eq} • {eq}\$ 870 {/eq}

• 13.

A delivery boy who delivers packages has a mean of {eq}81 {/eq} in the morning and has a mean of {eq}26 {/eq} in the afternoon. What is the expected value of the total packages that he delivered in a day?

• 107

• 55

• 22

• 170

• 14.

The mean of selling veg pizzas is {eq}35, {/eq} and the mean of selling non-veg pizzas is {eq}45. {/eq} Calculate the total mean value for both pizzas.

• 140

• 80

• 55

• 125

• 15.

Rackie spends a mean of {eq}\$53 {/eq} for his indoor garden and a mean {eq}\$ 73 {/eq} for his outdoor garden. What is the expected value of money that he spent on the entire garden work?

• {eq}\$111 {/eq} • {eq}\$ 126 {/eq}

• {eq}\$20 {/eq} • {eq}\$ 63 {/eq}

• 16.

Jack owns both vegetarian and non-vegetarian hotels. His weekly earning from the vegetarian hotel has a mean of {eq}\$2780, {/eq} and his weekly earning from the non-vegetarian hotel has a mean of {eq}\$3950. {/eq} How do you find the total mean value of his weekly earnings from both hotels?

• {eq}\$6730 {/eq} • {eq}\$ 1237 {/eq}

• {eq}\$6530 {/eq} • {eq}\$ 1345 {/eq}

• 17.

Jim has invested his money in stock {eq}A {/eq} and stock {eq}B. {/eq} After a month, he earns money from stock {eq}A {/eq} has a mean of {eq}\$350, {/eq} and he earns money from stock {eq}B {/eq} has a mean of {eq}\$ 600. {/eq} How much is the expected value of total earnings from both stocks?

• {eq}\$750 {/eq} • {eq}\$ 300 {/eq}

• {eq}\$450 {/eq} • {eq}\$ 950 {/eq}

• 18.

An old man is selling handbags and back bags. His monthly earnings from selling handbags has a mean of {eq}\$147, {/eq} and selling back bags has a mean of {eq}\$ 234. {/eq} Calculate the total expected value of his monthly earnings.

• {eq}\$187.3 {/eq} • {eq}\$ 365 {/eq}

• {eq}\$190.5 {/eq} • {eq}\$ 381 {/eq}

• 19.

In a class test, the mean score of the boys is {eq}18, {/eq} and the mean score of the girls is {eq}27. {/eq} Find the expected value of the total score of the students.

• 54

• 22.5

• 28.9

• 45

• 20.

In a school, the students who like to play indoor games has a mean score of {eq}185.8, {/eq} and the students who like to play outdoor games has a mean score of {eq}279.3. {/eq} Find the expected value of the total score of the students.

• 465.1

• 527.8

• 325.8

• 678.2

• 21.

A woman is selling small-size and large-size pizzas. Her monthly earnings from selling small-size pizzas has a mean of {eq}49, {/eq} and selling larger-size pizza has a mean of {eq}94 {/eq}. Find the expected value of the total of her monthly earnings.

• 71.5

• 134

• 143

• 75.1

• 22.

From first grade to eighth grade, the number of girls studying in each class has a mean of {eq}500 {/eq}, and the number of boys studying in each class has a mean of {eq}700 {/eq}. Calculate the expected value of the total students studying in first grade to eighth grade.

• 600

• 1200

• 200

• 900

• 23.

Leena owns two different shops. Her monthly earning from one shop has a mean of {eq}\$2250 {/eq} and her monthly earning from another shop has a mean of {eq}\$1200 {/eq}. What is the mean of her total monthly earnings?

• {eq}\$3450 {/eq} • {eq}\$1050 {/eq}

• {eq}\$3500 {/eq} • {eq}\$1725 {/eq}

• 24.

In a showroom, in a month, the number of two-wheelers sold has a mean of {eq}100 {/eq} and the number of four-wheelers sold has a mean of {eq}300 {/eq}. Calculate the expected value of the total vehicles sold in a month?

• 450

• 800

• 400

• 850

• 25.

Given that the random variable {eq}x {/eq} has a mean of {eq}11.48 {/eq}, and the variable {eq}y {/eq} has a mean of {eq}16.52 {/eq}. Calculate the mean value of the sum of both random variables.

• 26

• 28

• 11

• 14

• 26.

Suppose {eq}x {/eq} and {eq}y {/eq} are two random variables in a sample. The variable {eq}x {/eq} has a mean of {eq}163 {/eq}, and the variable {eq}y {/eq} has a mean of {eq}111 {/eq}. Calculate the total expected value of the sum of two random variables?

• 231

• 129

• 132

• 274

• 27.

Consider that {eq}x {/eq} and {eq}y {/eq} are random variables in a sample. The mean value of the random variable {eq}x {/eq} is {eq}340, {/eq} and the random variable {eq}y {/eq} is {eq}430 {/eq}. Determine the total mean value of the sum of two variables?

• 770

• 330

• 660

• 550

• 28.

The mean of selling the number of hot drinks is {eq}63, {/eq} and the mean of selling the number of cold drinks is {eq}76. {/eq} Determine the expected value of both drinks.

• 142

• 139

• 68

• 67

• 29.

A man is baking white and dark chocolates. He bakes white chocolates that have a mean of {eq}30.5 {/eq}, and dark chocolates that have a mean of {eq}88.2 {/eq} in a couple of weeks. Find the expected value of the total chocolates that he was baking in a couple of weeks.

• 181.7

• 56.9

• 118.7

• 59.6

• 30.

For a week, the number of two-wheelers crossing the toll road has a mean of {eq}750, {/eq} and the number of four-wheelers crossing the toll road has a mean of {eq}950 {/eq}. Calculate the expected value of both vehicles crossing the toll road in a week?