Statistics and Probability Answers

Four coins are tossed. Let Z be the random variable representing the number of heads that occur. Find the values of the random variable Z. Compute for the mean, variance, standard deviation. Construct a Probability histogram. *

9 points

P(Z>-1.53)

Find the probability of getting a red ace when a card is drawn at random from an ordinary deck of cards.

Find each of the following percentiles points

under the normal curve.

1. P82

2. P34

3. P88

4. P42

5. P68

Suppose three test kits are tested at random. Let D represent the defective test kit and let N represent the non-defective test kit. If we let X be the random variable for the number of defective test kits, construct the probability distribution of the random variable X.

Find the mean of the probability distribution of a random variable X which if 𝑃(𝑋) =

𝑥+1

20

for X= 1, 2, 3, 4, and 5.

Find the mean of the probability distribution of a random variable X which if 

P(X)=1/10 for X=1, 2, 3, …, 10.

Find the mean of the probability distribution of a random variable X which if 

P(X)=1/10 for X=1, 2, 3, …, 10.

Find the mean of the probability distribution of a random variable X which can take 

only the values 2, 4, 5, and 9, given that P(2)=9/20, P(5)=1/20, P(5)=1/5, and 

P(9)=3/10

Find the mean of the probability distribution of a random variable X which can take 

only the values 3, 5, and 7, given that P(3)=7/30, P(5)= 1/3, and P(7)=13/30