Statistics and Probability Answers

Student , Height , X²

Hazel Kim , 1.47 , 2.16

Mee Ann Mae , 1.58 , 2.50

Grace Ann , 1.67 , 2.79

Jethro , 1.69 , 2.86

Chelsea Mae , 1.51 , 2.28

TOTAL: 9.92 , 12.59

1. Solve for the mean of the population μ.

2. Solve for the mean of the sampling distribution of the sample means Hr.

3. Compare u and ur.

4. Solve for the variance (a) and the standard deviation (a) of the population.

5. Solve the variance (or) and the standard deviation (ar) of the sampling distribution of the sample means Hr.

6. Compare a and or.

A professor only gives two types of exams, "easy" and "difficult". you will
get a difficult exam with a probability of 0.80. The probability that the first question
on the exam will be marked as difficult is 0.90 if the exam is difficult and 0.15 otherwise.
What is the probability that the first question on your exam is marked as difficult. How many
the probability that your exam is difficult to remember the first question on the exam is marked as
difficult?

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.

Two coins are tossed. Let T be the number of tails that occur.

Construct the probability histogram.

A population consist of the value ( 1,4,3,2). Consider sample of sizes 2 that can be drawn from this population.

Let x be a binomial random variable with n=20 and p = 0.1.

a. Find the formula for the probability distribution of x.

b. Calculate P(X≤4)

c. Calculate the mean and standard deviation of X.

Find the t-value that bound in the middle of 80% with sample size 12

The time until a chemical reaction is complete (in milliseconds) has the density function f(x) = e^-x/100/100 for x ≥ 0.

a. Determine the mean and variance of x.

b. P(X>100).

There are 250 dogs at a dog show that weight an average of 12 pounds, with a standard deviation of 8 pounds .If 4 dogs are chosen at random, what is the probability that the average weight is greater then 8 pounds

Suppose f(x) = 3x^2/2 for - 1 < x < 1. Determine the mean and variance of X.