Quiz 6: The Normal Distribution

Compute the standard deviation of the random variable with the given discrete probability distribution x P(x) 0 0.2 10 0.25 15 0.1 20 0.45

The following table presents the probability distribution of the number of vacations X taken last year for a randomly chosen family. Find the probability that a family took at least 3 vacations last year. x 0 1 2 3 4 P(x) 0.07 0.74 0.1 0.05 0.04

An investor is considering a $20,000 investment in a start-up company. She estimates that she has probability 0.1 of a $15,000 loss, probability 0.05 of a $20,000 profit, probability 0.25 of a $35,000 profit, and probability 0.6 of breaking even (a profit of $0). What is the expected value of the profit?

Determine whether the table represents a discrete probability distribution. x P(x) -4 0.3 -3 0.15 -2 0.1 -1 0.5

Determine whether the table represents a discrete probability distribution. x P(x) 5 0.5 6 0.4 7 0.45 8 -0.35

Determine the indicated probability for a binomial experiment with the given number of trials n and the given success probability p. $n = 12 , p = 0.6 , P ($ Fewer than $4 )$

An investor is considering a $15,000 investment in a start-up company. She estimates that she has probability 0.15 of a $5000 loss, probability 0.15 of a $10,000 loss, probability 0.15 of a $30,000 profit, and probability 0.55 of breaking even (a profit of $0). What is the expected value of the profit?

A survey asked 863 people how many times per week they dine out at a restaurant. The results are presented in the following table. Consider the 863 people to be a population. Let X be the number of times per week a person dines out for a person sampled at random from this population. Find the probability that a person dines out 4 or more times per week.

Compute the mean of the random variable with the given discrete probability distribution. x P(x) 0 0.2 10 0.2 25 0.4 30 0.2

Determine whether the random variable described is discrete or continuous. The length in seconds of a randomly-selected TV commercial

Determine the indicated probability for a binomial experiment with the given number of trials n and the given success probability p $n = 15 , p = 0.4 , P ( 12 )$

The following table presents the probability distribution of the number of vacations X taken last year for a randomly chosen family. Find P(1 or more) x 0 1 2 3 4 P(x) 0.15 0.56 0.15 0.1 0.04

Determine whether the random variable described is discrete or continuous. The number of minutes you must wait in line at the grocery store

A survey asked 849 people how many times per week they dine out at a restaurant. The results are presented in the following table. Consider the 849 people to be a population. Let X be the number of times per week a person dines out for a person sampled at random from this population.Compute the $\operatorname { mean } \mu _ { x ^ { * } }$

A survey asked 915 people how many times per week they dine out at a restaurant. The results are presented in the following table. Consider the 915 people to be a population. Let X be the number of times per week a person dines out for a person sampled at random from this population. Standard deviation $\sigma _ { x ^ { * } }$

A survey asked 876 people how many times per week they dine out at a restaurant. The results are presented in the following table. Consider the 876 people to be a population. Let X be the number of times per week a person dines out for a person sampled at random from this population. Find the probability that a person does not dine out at all.

Determine whether the random variable described is discrete or continuous.The number of 3-point shots made in a basketball game

Fill in the missing value so that the following table represents a probability distribution. x -2 -1 0 1 P(x) 0.05 0.47 ? 0.32

Determine whether the table represents a discrete probability distribution. x P(x) 3 0.3 4 0.05 5 0.45 6 0.2

Determine whether the random variable described is discrete or continuous. The total value of a set of coins