1. The time need to complete a final examination in a college course is normally distributed with a mean of 80 minutes and a standard deviation of 10 minutes. a. What is the probability of completing the exam in less than 60 minutes? b. What is the probability of completing the exam in less than 95 minutes? c. What is the probability of completing the exam in more than 75 minutes? d. What is the probability of completing the exam within 60 to 75 minutes? e. 35% of students complete the exam in less than what time? f. 95% of students complete the exam in less than what time? g. 10% of students complete the exam in more than what time?

7. Use the Product Rule and the Sum Rule to determine each of the following probabilities:

• Mendel mated Yellow Round peas (YYRR) to Green Wrinkled peas (yyrr), then performed an F1 selfcross (YyRr x YrRr). What is the probability that an F2 pea chosen at random is heterozygous for both genes?
• From the YrRr x YyRr self cross: What is the probability that an F2 pea chosen at random is heterozygous for the Y gene OR the R gene?
• Cystic Fibrosis is a Mendelian recessive genetic disorder in humans. 5% of the human population is a carrier for CF. What is the probability that two CF carriers will mate?

What is the probability that two CF carriers will mate, AND that they will have an afflicted child?

Expalin with every steaps and explanations

The accompanying contingency table gives frequencies for a classification of the equipment used in a manufacturing plant. Equipment use Low Moderate High In working Order 10 18 12 Under repair 2 6 8

a. Find the probability that a randomly selected piece of equipment is a Moderate item or that it is in working order.

b. Find the probability that a randomly selected piece of equipment is a high-use item given that it is in working order.

c. Find the probability that a randomly selected piece of equipment is a low-use item and it is in working order.

d. Find the probability that a randomly selected piece of equipment is in working order given that it is a low-use item.

A certain genetic mutation occurs in 5% of the population of Whoville. The mutation causes otherwise normal adult Whos to grow green tail feathers during full moons. A test for this mutation has a sensitivity of 95% and a specificity of 98%. This means that the probability that a Who with the mutation tests positive is 95%, and  the probability that a Who without the mutation tests positive is 100%-98%=2%.

If a random adult Who is tested for the mutation, then the probability of a positive result is

Group of answer choices

13.56%

6.65%

5%

95%

If a randomly selected Who tests positive for the mutation, then the probability that this Who actually has the mutation is

Group of answer choices

70.8%

5%

71.43%

95%

researchers at a drug company are testing the duration of a new pain reliever. the drug is normally distributed with a mean durtion of 240 minutes and a standard deviation of 40 minutes the drug is administered to a random sample of 10 people..what is the populatin mean? what is the standard deviation? what is the sample size? can normal approximation be use for this problem? what is the mean of the samle means? what is the standard deviation of the sample means? what is the probability that the drug will wear off in less than 200 minutes? what is the z score? what is the requested probability? wht is the probability the drug will wear off in 220 minutes? what is the probability that the drug will wear off between 200 and 220 minutes

Researchers for the University of Maryland Department of Civil and Environmental Engineering used stochastic dynamic programming to determine optimal load estimates for electric power (Journal of Energy Engineering, Apr. 2004). One objective was to determine the probability that a supplier of electric power would reach or exceed a specific net profit goal for varied load estimates. All load estimates in the study yielded a probability of .90. Consider two different suppliers of electric power (Supplier A and Supplier B) acting independently.

a. What is the probability that both suppliers reach their net profit goal?

b. What is the probability that either Supplier A or Supplier B reaches its net profit goal?

Compute​ P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If​ so, approximate​ P(X) using the normal distribution and compare the result with the exact probability.

n=40, p=0.35​, X=20

P (X) =

Can the normal distribution be used to approximate this​ probability?

Approximate​ P(X) using the normal distribution. Use a standard normal distribution table. Select the correct choice below and fill in any answer boxes in your choice.

By how much do the exact and approximated probabilities​ differ? Select the correct choice below and fill in any answer boxes in your choice.

Problem 1. In a study of the relationship between health risk and income, a large group of people living in MA were asked a series of questions. Some of the results are shown in the following table:

1. In this study, what is the probability that someone smokes?

2. What is the probability that someone smokes, if they have a high income?

3. What is the probability that someone smokes and they have a high income?

4. What is the probability that someone smokes or they have a high income?

5. Is smoking independent of income level?   Why, or why not?

The data in the table represents the breakdown of semiconductor wafers by lot and whether they conform to a thickness specification. If one wafer is selected at random,

1. what is the probability that the wafer conforms to specifications?
2. what is the probability that the wafer is from Lot A and conforms to specifications?
3. what is the probability that the wafer is from Lot A or conforms to specifications?
4. what is the probability that the wafer conforms to specifications, given the wafer is from Lot A?
5. Are the events “from Lot A” and “conforms to specifications” independent? Why or why not? Use the results from some of the previous parts of this exercise to answer part e.

1.The manufacturer of cans of salmon that are supposed to have a net weight of 6 ounces tells you that the net weight is actually a normal random variable with a mean of 5.98 ounces and a standard deviation of 0.12 ounce. Suppose that you draw a random sample of 44 cans. Find the probability that the mean weight of the sample is less than 5.94 ounces.

Probability =

2.Scores for men on the verbal portion of the SAT-I test are normally distributed with a mean of 509and a standard deviation of 112.
(a)  If 1 man is randomly selected, find the probability that his score is at least 588.

(b)  If 18 men are randomly selected, find the probability that their mean score is at least 588.