Problem: Given P(A) = .40, P(B) = .50, and P(A ∩ B) = .05. (a) Find P(A | B). (b) In this problem, are A and B independent? Explain.

Problem: Given P(A) = .40, P(B) = .50, and P(A ∩ B) = .05, find (a) P(A B), (b) P(A | B), and (c) P(B | A). (d) Sketch a Venn diagram.

5.22.

This contingency table describes 200 business students. Find each probability and interpret it in words. GenderMajor

1. P ( A )
2. P ( M )
3. P ( A ∩ M )
4. P ( F ∩ S )
5. P ( A | M )
6. P ( A | F )
7. P ( F | S )
8. P ( E \(\cup \) F )

6.3. On the midnight shift, the number of patients with head trauma in an emergency room has the probability distribution shown below. (a) Calculate the mean and standard deviation. (b) Describe the shape of this distribution.

6.17. Calculate each compound event probability:

1. X ≤ 3, n = 8, π = .20
2. X > 7, n = 10, π = .50
3. X < 3, n = 6, π = .70
4. X ≤ 10, n = 14, π = .95
   4. CitiBank recorded the number of customers to use a downtown ATM during the noon hour on 32 consecutive workdays. (a) Use Excel or MegaStat to find the mean, median, and mode. (b) Do these measures of central tendency agree? Explain. (c) Are the data symmetric or skewed? If skewed, which direction? (d) Note strengths or weaknesses of each statistic of central tendency for the data. CitiBank.
   4.21. An executive's telephone log showed the lengths of 65 calls initiated during the last week of July. (a) Use Excel to find the quartiles. What What do they tell you? (b) Find the midhinge. What does it tell you? (c) Make a box plot and interpret it. CallLength
   4.34. Grace took a random sample of the number of steps per minute from the electronic readout of her aerobic climbing machine during a 1-hour workout (a) Calculate the mean, median, and mode. (b) Which is the best measure of central tendency? The worst? Why? (Data
   7.13. Find the standard normal area for each of the following, showing your reasoning clearly and indicating which table you used.
   1. P(0 < Z < 0.50)
   2. P(−0.50 < Z < 0)
   3. P(Z > 0) d. P(Z = 0)

7.17. Assume that the number of calories in a McDonald's Egg McMuffin is a normally distributed random variable with a mean of 290 calories and a standard deviation of 14 calories. (a) What is the probability that a particular serving contains fewer than 300 calories? (b) More than 250 calories? (c) Between 275 and 310 calories? Show all work clearly.

7.21. The weight of newborn babies in Foxboro Hospital is normally distributed with a mean of 6.9 pounds and a standard deviation of 1.2 pounds. (a) How unusual is a baby weighing 8.0 pounds or more? b) What would be the 90th percentile for birth weight? (c) Within what range would the middle 95 percent of birth weights lie?

7.22. The credit score of a 35 year old applying for a mortgage at Ulysses Mortgage Associates is normally distributed with a mean of 600 and a standard deviation of 100. (a) Find the credit score that defines the upper 5 percent. (b) Seventy-five percent of the customers will have a credit score higher than what value? (c) Within what range would the middle 80 percent of credit scores lie?

8.5. Find a confidence interval for µ assuming that each sample is from a normal population.

1. x = 14, σ = 4, n = 5, 90 percent confidence
2. x = 37, σ = 5, n = 15, 99 percent confidence
3. x = 121, σ = 15, n = 25, 95 percent confidence

8.11. A sample of 21 minivan electrical warranty repairs for "loose, not attached" wires (one of several electrical failure categories the dealership mechanic can select) showed a mean repair cost of $45.66 with a standard deviation of $27.79. (a) Construct a 95 percent confidence interval for the true mean repair cost. (b) How could the confidence interval be made narrower?

Price: $31.12

Solution: The downloadable solution consists of 18 pages, 1312 words and 6 charts.
Deliverable: Word Document