If bolt thread length is normally distributed, what is the probability that the thread length of a randomly selected bolt is

(a) Within 1.3 SDs of its mean value?


(b) Farther than 1.5 SDs from its mean value?


(c) Between 1 and 2 SDs from its mean value?

You may need to use the appropriate table in the Appendix of Tables to answer this question.

If bolt thread length is normally distributed, what is the probability that the thread length of a randomly selected bolt is (a) Within 1.3 SDs of its mean value?

(b) Farther than 2.1 SDs from its mean value?

(c) Between 1 and 2 SDs from its mean value?

What is the probability that a randomly selected CMSU student will be male?
The Student News Service at Clear Mountain State University (CMSU) has decided to gather data about the undergraduate students that attend CMSU. CMSU creates and distributes a survey of 14 questions and receives responses from 62 undergraduates

What is the probability that a randomly selected CMSU student will be female?
Find the conditional probability of different majors among the male students in CMSU.
Find the conditional probability of different majors among the female students of CMSU.
Find the conditional probability of intent to graduate, given that the student is a male.
Find the conditional probability of intent to graduate, given that the student is a female.
Find the conditional probability of employment status for the male students as well as for the female students.
Find the conditional probability of laptop preference among the male students as well as among the female students.

1. Assume the standard deviation is 1.5 hours—
2. What is the probability of a random person in your age group getting less than 6 hours of sleep?
3. What is the probability of a random person in your age group getting between 7 - 9 hours of sleep?
4. What is the probability of a random person in your age group getting more than 9 hours of sleep?
5. Are any of the probabilities in questions 5 - 7 considered unusual? Explain.

age group amount of sleep is = 8hrs

Find the stationary distribution of this chain

Suppose that the probability it rains today is 0.3 if neither of the last two days was rainy, but 0.6 if at least one of the last two days was rainy. Let the weather on day n, Wn, be R for rain, or S for sun. Wn is not a Markov chain, but the weather for the last two days Xn = (Wn−1 , Wn ) is a Markov chain with four states {RR, RS, SR, SS}.

It can be difficult to estimate the probability of some threat events, as the attack could be accomplished in many ways. Fortunately, the quantitative technique of decomposition suggests one approach to this problem. What is this technique called?

The probability that a patient recovers from a disease is R%. If R − 10 persons are affected from the disease find the probability that:

a) At least 5 persons recover from the disease. b) At most 7 persons recover from the disease.

c) Between 5 to 10 persons recover from the disease.

R=81

In a normal distribution with mean = 27 and standard deviation = 4 Find the probability for
a.) 23 < x < 31
b.) 27<x<35

c.) 25 < x < 30 d.) x>26
e.) x < 24

The probability that a specific hydraulic actuator can be successfully repaired in the field, once it has failed, is estimated at 0.4. You are asked to optimize the shipment of a limited supply of spares and maintenance personnel. If 15 actuators have failed today, what is the probability that A) at least 10 are repairable? B) from 3 to 8 are repairable? C) exactly 5 are repairable?