A normal population has a mean of 80.0 and a standard deviation of 14.0. Compute the probability of a value between 75.0 and 90.0. Compute the probability of a value 75.0 or less. Compute the probability of a value between 55.0 and 70.0.

In a binomial situation n = 4 and p = .25. Determine the probabilities of the following events using the binomial formula.
x = 2
x = 3

In a binomial situation n = 5 and p = .40. Determine the probabilities of the following events using the binomial formula.
x = 1
x = 2

The mean rent for a one-bedroom apartment in Southern California is $2,200 per month. The distribution of the monthly costs does not follow the normal distribution. In fact, it is positively skewed. What is the probability of selecting a sample of 50 one-bedroom apartments and finding the mean to be at least $1,950 per month? The standard deviation of the sample is $250

Solution Summary

The solution calculates binomial probabilities as well as sample probabilities based on population values.

BinomialProbabilities
These procedures show how to get binomialprobabilities associated with n = 5 trials when the probability of a success on any given trial is π = 0.20.
Procedure I: Individual or cumulative probabilities for x = 2 successes.
Procedure II: Complete set of individual

Suppose 1.5 percent of the antennas on new Nokia cell phones are defective. For a random sample of 10 antennas, use the binomial distribution to find the probability that:
a. None of the antennas is defective.
b. Three or more of the antennas are defective.
c. At most 3 are defective.
d. All 10 antennas are defecti

Based on p=.60, probability that a randomly selected homeowners will say no to newspaper subscription.
n=10 sample size
a. The probability that 6 out of 10 people will say no to a newspaper subscription.
b. The probability that 2 out of 10 people will say no to a newspaper subscription.

Find the indicated probabilities.
a. P (z > -0.89)
b. P (0.45 < z < 2.15)
Write the binomial probability as a normal probability using the continuity correction.
Binomial Probability Normal Probability
c. P ( x ≤ 56) P ( x < ? )
d. P ( x = 69 ) P ( ? < x < ?

Population of consumers where 30% of them favored a new product and 70% of them disliked it. If 20 persons are sampled, what are the probabilities of finding: Binomial: 8 or fewer consumers who favor the product. Precisely 10 consumers who favor the product. Fewer than 6 consumers who favor the product. More than 7 consumers who

In a binomal situation n = 5 and pi denotes a binomial population paramenter. Do not confuse it with the mathematical constant 3.1416.
Determine the probabilities of the following events using the binomial formula -
a. x = 1 and
b. x = 2

Which of the following probabilities for the sample points A,B,and C could be true if A, B and C are the only sample points in an experiment?
a- P(A)= 1/8, P (B) = 1/7, P(C)= 1/10
b. P(A)= 1/4 P(B)=1/4, P(C)=1/4
c. P(A)= -1/4, P(B)= 1/2 P(C)=3/4
d. P(A)=0, P(B)= 1/14, P(C)=13/14.

Please use words to describe the solution, not just symbols. (basically, explain what is going on in addition to an answer) Use a math symbol editor where appropriate.
Problem 1:
Write a program to compute binomialprobabilitiesand compare the results with the Poisson approximation for the following cases:
a) P(X = 2)

Answer the following:
(A) Find the binomial probability P(x = 4), where n = 12 and p = 0.50.
(B) Set up, without solving, the binomial probability P(x is at most 4) using probability notation.
(C) How would you find the normal approximation to the binomial probability P(x = 4) in part A? Please show how you would calculate