3.2 Our overworked student trudges to his 3rd exam of the day, a true/false exam with 100 questions. Again,he just guesses the answers. Notice that this time he has a 50% chance of getting each particular question correct.

a. What is the probability that the student gets at least one question correct?

b. What is the probability that the student gets between 15 and 35 questions (inclusive) correct?

c. What is the probability that the student gets between 40 and 60 questions (inclusive) correct?

d. What is the probability that the student passes the exam (gets 60 or more questions correct)?

A retailer of electronic equipment received six DVD players from the manufacturer. Three of the DVD players were damaged in the shipment. The retailer sold two DVD players to two customers. Consider the problem of calculating the probability that the customers receive damaged DVD players. [2] Can a binomial distribution be used for the solution of the above problem? Why or why not? [1] What kind of probability distribution can be used to solve this problem? [1] What is the probability that both customers received damaged DVD players? [1] What is the probability that only one of the two customers received a defective DVD player?

The mean incubation time for a type of fertilized egg kept at

100.31?°F is 21 days. Suppose that the incubation times are approximately normally distributed with a standard deviation of 2 days

?(a) What is the probability that a randomly selected fertilized egg hatches in less than 19 days??(b) What is the probability that a randomly selected fertilized egg hatches between 17 and 21days? ?(c) What is the probability that a randomly selected fertilized egg takes over 23 days to? hatch?

?(a) The probability that a randomly selected fertilized egg hatches in less than 19 days is nothing .

?(Round to four decimal places as? needed.)

We discussed towards the end of last class (01-11-18) a Poisson problem. This an adaptation of that problem. There is evidence that suggests that one in 200 carry a defective gene that is implicated in colon cancer. In a sample of 1000 individual, a. What is the probability that none of them would have the noted defective gene? b. What is the probability that between 4 and 7 (both inclusive) will carry the defective gene? c. What is the probability that at least 8 carry the defective gene? Notes: First establish that one can use Poisson distribution model, and use Excel or web-published probability tables.

World class marathon runners are known to run that distance (26.2 miles) in an average of 146 minutes with a standard deviation of 15 minutes.

If we sampled a group of world class runners from a particular race, find the probability of the following:

**(use 4 decimal places)**

a.) The probability that one runner chosen at random finishes the race in less than 140 minutes.

b.) The probability that 10 runners chosen at random have an average finish time of less than 140 minutes.  

c.) The probability that 50 runners chosen at random have an average finish time of less than 140 minutes.  

World class marathon runners are known to run that distance (26.2 miles) in an average of 146 minutes with a standard deviation of 15 minutes.

If we sampled a group of world class runners from a particular race, find the probability of the following:

**(use 4 decimal places)**

a.) The probability that one runner chosen at random finishes the race in less than 140 minutes.

b.) The probability that 10 runners chosen at random have an average finish time of less than 140 minutes.  

c.) The probability that 50 runners chosen at random have an average finish time of less than 140 minutes.  

Can you please do them You are planning to take three exams. According to the records, the failure rates for the exams A, B, and C are 15%, 25%, and 35%, respectively. Assume that the passing rates for all exams are independent events:

1. What will be the probability that you will pass all three exams?

2. What is the probability that you will pass at least two exams?

3. What is the probability that you will pass at least one exam?

4. Given that you have passed at least one of the exams, what is the probability that you have passed only one exam?

Assume that females have pulse rates that are normally distributed with a mean of mu equals 73.0 beats per minute and a standard deviation of sigma equals 12.5 beats per minute. Complete parts​ (a) through​ (b) below.

a. If 1 adult female is randomly​ selected, find the probability that her pulse rate is between 66 beats per minute and 80 beats per minute.

The probability is _______ .

b. If 4 adult females are randomly​ selected, find the probability that they have pulse rates with a mean between 66 beats per minute and 80 beats per minute.

The probability is _____.

1a). Assume that when adults with smartphones are randomly selected,61 % use them in meetings or classes. If 15 adult smartphone users are randomly selected, find the probability that exactly 11 of them use their smartphones in meetings or classes. I need help getting the probability of this.

b). Assume that when adults with smartphones are randomly selected, 47 % use them in meetings or classes. If 14 adult smartphone users are randomly selected, find the probability that fewer than 33 of them use their smartphones in meetings or classes. I need help getting the probability of this. Thanks again for the help!