Question: Suppose that x is a binomial random variable with n = 5, p = .3 and q = .7. a. Write the binomial formula for

Suppose that x is a binomial random variable with n = 5, p = .3 and q = .7.

a. Write the binomial formula for this situation and list the possible values of x.

b. For each value of x, calculate p(x), and graph the binomial distribution.

c. Find . p(x – 3).

d. Find . p(x ≤ 3).

e. Find . p(x < 3).

f. Find . p(x ≥ 3).

g. Find. p(x > 3).

h. Use the probabilities you computed in part b to calculate the mean, , the variance, , and the standard deviation, , of this binomial distribution. Show that the formulas for µx σ2x and σx, given in this section give the same results.

i. Calculate the interval [μ ( 2σx]. Use the probabilities of part b to find the probability that x will be in this interval.

Step by Step Solution

★★★★★

3.26 Rating (181 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a x is Binomial with p 03q 07n 5px 5x5 x 3 x 7 5x x 0 1 2 3 4 5 b p0 01681 p1 ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

458-S-D-R-V (122).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Suppose that X is a binomial random variable with n = 200 and p = 0.4. (a) Approximate the probability that X is less than or equal to 70. (b) Approximate the probability that X is greater than 70...

Suppose that X is a binomial random variable with n = 100 and p = 0.1. (a) Compute the exact probability that X is less than 4. (b) Approximate the probability that X is less than 4 and compare to...

Suppose that X is a binomial random variable where Pr(X = x) = (n/x)px(l - p)n-x, x = 0, 1, 2, . . ., n. If E(X) = 70 and Var(X) = 45.5, determine n, p.

Suppose that x is a binomial random variable with n = 5, p = 0.91, and q = .09. (b) For each value of x, calculate p(x). (Round final answers to 4 decimal places.) P(0) = , P(1) = , P(2) = , P (3) =...

Suppose that x is a binomial random variable with n = 5, p= .34, and q= .66. (b) For each value of x, calculate p(x). (Round final answers to 4 decimal places.) P(0) = 0. 1252 . P(1) = 0.3226 , P(2)...

Suppose that x is a binomial random variable with n = 5, p = .3, and q = .7. a. Write the binomial formula for this situation and list the possible values of x. b. For each value of x, calculate...

METHODS AND APPLICATIONS 6.21 Suppose that x is a binomial random variable with n = 5 p = 3 , and q = .7 a Write the binomial formula for this situation and list the possible values of x. b For each...

Excel Output of the Binomial Distribution with n = 24, p = 0.15, and q = 0.85 Binomial distribution with n = 24 and p = 0.15 JAWN- OX P(X=x) 0.0202 0.0857 0.1739 0.2251 0.2085 0.1472 (Note: The Excel...

Hello, I don't understand why am I wrong for the very last part. Please explain :) Thank you! Suppose that x is a binomial random variable with n = 5, p = 0.6, and q = .40. (b) For each value of x,...

Identify and explain the stakeholders associated with Brazils thriving economy. Text: stakeholders are those who can affect, and are affected by, a firms strategic outcomes

Amount in Dollars Amount in Dollars Sales 1 00 000 79 900 Cost of goods sold 47 500 39 950 Operating expenses 750 500 Selling expenses 9 500 9 000 Administrative expenses 12 000 12 000 Net income 30...

In order to reach and justify conclusion on the fairness of the financial statements and auditor must obtain evidence that is

What are the two main methods of repaying the capital of a mortgage?

The length of components produced by a company is normally distributed with a mean of 6 cm and a standard deviation of 0.02 cm. Calculate the 1st, 2nd, and 3rd quartiles of the component length.

A new water filtration system is sold with a 10-year warranty that includes all parts and repairs. Suppose the life of this water filtration system is normally distributed with mean and standard...

Suppose that the average IQ score is normally distributed with a mean of 100 and a standard deviation of 16. In addition to providing the answer, state the relevant Excel commands. a. What is the...

Moving to another question will save this response. Question 10 2 points Save Antwe You purchase a TIP note with an original principal amount of $1,000,000 and a 10 percent annual coupon (paid...

QUESTION 4 Which of the following statements concerning the capital structures of Japanese companies is correct? O a. Debt monitoring costs are extremely high in Japan. b. Companies in Japan raise...

Could you show all of the calculations? Thanks! Check my work 1 Bay City Company's fixed budget performance report for July follows. The $440,000 budgeted total expenses include $300,000 variable...