Statistics and Probability Answers

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?

Analyze and solve the following problems.

a. What is the probability that when you roll a die, the outcome is an even number?

b. What is the probability that when you determine the blood type of an individual his or her blood type is type O?

c. In a standard deck of cards, what is the probability of drawing a card that is a heart or an ace?

d. A coin is tossed thrice. What is the probability of obtaining exactly 2 heads occur?

e. According to the recent news, the probability of raining today is 65%. What is the probability of not raining today?

State the sample space for each other of the following random experiments.

a. tossing a coin

b. rolling a die

c. number of male children in a family of 2 children

d. identifying the blood type of an individual

e. determine the civil status of an individual