Statistics and Probability Answers

Activity #1

Suppose that a coin is to be tossed five times, and let X represent the number of tails that occur. Based on the problem, observe, analyze, and answer the following questions:

How many outcomes are possible?

Construct a table showing the number of tails appear in each outcome and assign this number to this outcome. What is the value of the random variable X?

> Illustrate a probability distribution. What is the probability value P(X) to each value of the random variable? (Use table)

What is the sum of the probabilities of all values of the random variable?

Suppose that a coin is to be tossed five times, and let X represent the number of tails that occur. Based on the problem, observe, analyze, and answer the following questions:

> Construct a table showing the number of tails appear in each outcome and assign this number to this outcome. What is the value of the random variable X?

Find each of the location location z score or z value of P99 percentile points under the normal curve

corresponding area of z 0 and z 1.74

60% of a certain species of tomato live after transplanting from pot to garden. Eli transplants 16 of these tomato plants in a garden each month. Assume that the plants live independently of each other. Let X equals the number of tomato plants that live each month.

Find

1) the mean of X. (Give your answer to 1 decimal place.)

2) the standard deviation of X. (Give your answer to 2 decimal places.)

Two cards are drawn from a deck. How many possible value following variables take? 1. sum of the numbers on the cards 2. number of times both cards are black 3. Number of times both cards are 7s 4. Number of times the first card is six and the second card is red 5. Number of times the first card is face card and the second card is not a face card

1 A manufacturer receives a shipment of 500 spare parts from a supplier who claims that the lengths of the spare 1 parts are approximately normally distributed having a mean of 2.5 cm and a standard deviation of 0.04 cm. If the manufacturer takes a 10% random sample from the shipment, what is the probability that he gets the mean length of c. less than 2.58 cm?

D. Solve the following problem.

a. more than 2.54 cm?

b. more than 2.40 cm?

d. between 2.42 and 2.60 cm?

Given the population: 1,4,6,9 and 10. Suppose sample of size 3 are drawn from this population

What is meant by the following measures of position below?

1. Q₃ = 94

2. D₈ = 17

3. P₉₀ = 42

A population consists of 3, 6, 9, 12, 15, and 18. If random samples of

size 3 will be drawn from this population, what will be the mean of the

sampling distribution of the sample means?