Binomial Probability Distribution If you are given that an activity follows a bi

Question

Binomial Probability Distribution

If you are given that an activity follows a binomial distribution with the probability of success equal to 0.60. Consider doing an experiment of this activity with 8 trials.

a. What are the

b. What is the probability of seeing exactly 5 successes; P (X = 5)?

c. What is the probability of seeing 7 or less successes { ie P (X 7)}?

Normal Probability Distribution

Suppose you are told that SBP (systolic blood pressure) of a group of people follow a normal probability distribution with a mean of 120 and standard deviation of 11.

a. What is the probability that a randomly selected person will have a value of 105 or greater?

b. What percentage of people will have values between 105 and 125?

Explanation / Answer

Solution:-

p = 0.60, n = 8

b) The probability of seeing exactly 5 successes is 0.2787.

x = 5

By applying binomial distribution

P(x,n) = nCx*px*(1-p)(n-x)

P(X = 5) = 0.2787

c) The probability of seeing 7 or less successes is 0.9832.

x = 7

By applying binomial distribution

P(x,n) = nCx*px*(1-p)(n-x)

P(X < 7) = 0.9832

Related Questions

Navigate

• Browse (All)
• Browse B
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.