Question :
Assuming that X is a binomialrandom variable with n = 1000 and p = 0.50, find each of the following probabilities.
(a) P( X < 500 )
(b) P( 490 < X < 500 )
(c) P( X > 500 )
(d) P( X > 550 )

Given p = 0.50 then q = 1 - 0.50 = 0.50
Mean = 500 and Standard ...

Solution Summary

The detailed step by step solutions are given in the attached solution file with explanation of procedure and formulas used.
Following are the final answers.
P( X < 500 ) = 0.4880

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

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 binomialprobabilities and compare the results with the Poisson approximation for the following cases:
a) P(X = 2)

Objective: Calculate binomial and Poisson probabilities.
1) Chapter 5: Problem 5.5 (binomial)
Solve the following problems by using the binomial formula.
a. If n = 4 and p = .10 , find P(x = 3) .
b. If n = 7 and p = .80 , find P(x = 4) .
c. If n = 10 and p = .60 , find P(x ≥ 7) .
d. If n = 12 and p = .45

Plotting the Binomial Probabilities using MINITAB
1.) Create plots for the three binomial distributions above. Select Graph > Scatter Plot and Simple then for graph 1 set Y equal to 'one fourth' and X to 'success' by clicking on the variable name and using the "select" button below the list of variables. Do this two more ti

About 30% of adults in United States have college degree.
(probability that person has college degree is p = 0.30).
If N adults are randomly selected, find probabilities that
1) exactly X out of selected N adults have college degree
2) less than X out of selected N adults have college degree
3) greater than X out of sel

38. Suppose x is a binomial random variable with n = 3 and p = 3
a. calculate the value of p(x), x = 0,1,2,3 using the formula for a binomial probability distribution
b. using your answers to part a, give the probability distribution for x in tabular form
42. The binomial probability distribution is a family of proba

Assume a binomial probability distribution has ยต=0.60 and n= 200
a. What is the mean and standard deviation?
b. Is this a situation in which binomialprobabilities can be approximated by the normal probability distribution? Explain
c. What is the probability of 100 to 110 successes?
d. What is the probability of 130 or

Please show all work and examples
1. Under certain conditions, it is possible that the sum of the probabilities of all the sample points in a sample space is less than one. ___ T/F
2. A compound event formed by use of the word and requires the use of the addition rule. ____ T/F
3. In any binomial probability

1. Let f(x) = 2e^(-(x-3)/c), 3 < x < infinity (zero otherwise) be a p.d.f. of a random variable X.
a. Find c
b. Find the CDF of X and sketch the CDF
c. Compute P(-5 < X < 10)
2. A candy maker produces mints that have a label weight of 30 grams. Assume that the distribution of the weights of these mints is N(30, 2^2).