Answered: the probability P(X≤6) using the…

Math

Probability

the probability P(X≤6) using the central limit theorem?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: Assume the random variable X has a binomial distribution with the given probability of obtaining a…

A: In question, Given that X is a random variable follows binomial distribution with number of trials…

Q: of a 3. Based on years teaching assistant has cars in the drive-throu X f(x) 0 .005 (a) Sketch the…

A: X 0 1 2 3 4 5 6 f(X) 0.005 0.025 0.310 0.340 0.220 0.080 0.020

Q: High temperatures in a certain city for the month of August follow a uniform distribution over the…

A: Continuous uniform distribution: A random variable X is said to have the rectangular distribution or…

Q: Please HELP ME! In a drawer there are 6 black stockings and 4 white stockings. We take five stakes…

A: Given that: Population size, N=10 (6 black stockings + 4 white stockings) Sample size, n=5 Number of…

Q: What is the probability that the first person selected is a supervisor and in management

Q: The accompanying table describes the random variable x, the numbers of adults in groups of five who…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: 2. A hockey player shoots the puck until it goes into a small net. The probability of hitting the…

Q: Q2: Each salesperson in a large department store chain is rated on his or her sales ability and…

Q: What is the probability that the first person selected is a supervisor and in management? A. 0 B.…

A: Given table is : Classification Event Number of employees Supervisor A120Maintenance B50Production…

Q: Let X be a random variable with a uniform distribution. If X can be any number from 0 to 25, what is…

A: Answer - Let X be a random variable with a uniform distribution. If X can be any number from 0 to…

Q: d) Compute the z-score for a patient who takes 9 days to recover, and interpret what it means in the…

A: Z is known as standard normal variable and it's value is obtained using standard Normal table.

Q: Translate the following statements using probability notation. Use X as the random variable. The…

A: Translate the statements using probability notation.

Q: Sixty percent (60% = the parameter) of all undergraduate applications to a certain University are…

A: 60% application from same state as University From 50 under graduate not any from same state.

Q: The patient recovery time for a particular surgical procedure is normally distributed with a mean of…

A: Z is known as standard normal variable and it's value is obtained using standard Normal table.

Q: K Assume that when adults with smartphones are randomly selected, 54% use them in meetings or…

Q: Find the specified probability. 17) Use the following probability distribution to determine P(5<X ≤…

A: The objective of the question is to find the probability that the random variable X falls between 5…

Q: Let X be a random variable with distribution Ber(p) and let n be a natural number. Find the…

A: It is given that X follows Ber(p), then X can take values 0 and 1 with probabilities (1 - p) and P…

Q: Assume that when adults with smartphones are randomly selected, 51% use them in meetings or classes.…

Q: T1.6 An appliance store in the United States sells refrigerators in three sizes: (L)arge, (M)edium…

A: a) The probability that the next refrigerator sold will be (L)arge and imported is:P(L and…

Q: The numberof new cllents that a computer consulting firm obtalned each month has ranged from 0 to 6.…

A: Given data, Number of new clients 0 1 2 3 4 5 6 Probability 0.05 0.1 0.05 0.1 0.25 0.2 0.25

Q: Put some air in your tires: Let Xrepresent the number of tires with low air pressure on a randomly…

Q: 02. In a mass production of bolts, it is found that 5% are defective. Bolts are selected at random…

A: Given thatp = 5% = 0.05n = 10X ~Binomial(n, p) X ~ Binomial (10, 0.05)The PMF of the Binomial…

Q: The discrete random variable X has a binomial distribution with n=10 and p=0.55. Find the value of…

Question

X has a binomial distribution with the random variable n=60 and p=0:1. Which of the following is the probability P(X≤6) using the central limit theorem?

27 -

0.87

0.10

NS)

0.22

0.90

TO)

0.58

Video Video

Expert Solution

Step 1

Given : n=60 , p=0.1 , q=1-p=1-0.1=0.9

Here , np=60*0.1=6>5 and nq=60*0.9=54>5 , therefore use normal approximation.

Now , mean=μ=np=60*0.1=6 and standard deviation=σ= $\sqrt{n p q} = \sqrt{60 * 0.1 * 0.9} = 2.3238$

Here , we want to find the P(X≤6)

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

q24- If the random variable X is uniformly distributed between 25.5 and 76.4, then P(37 ≤ X ≤ 46) is: a. 0.1375 b. 0.0982 c. 0.1768 d. 0.2358
H1
Let X be a random variable with Normal distribution, mean = 16, sd = 2. Find the value of x such that P(X > x) = 0.05. a) 0.520 b) 12.710 c) 1.645 d) −1.645 e) 19.290 f) None of the above
Let Q represent the number of smooshed doughnuts in a randomly selected box of one-dozen doughnuts from Fisher Doughnuts. Suppose the probability distribution of Q is as follows Value (Q) 0 Probability (Q) .8 Show all Work and Calculation. 1 .1 2 .06 3 .04 a) What is the probability that at least nine doughnuts in a randomly selected dozen aren't smooshed? b) Calculate and interpret μ c) Calculate and interpret o d) Homer Simpson, an infamous doughnut inspector, will continue to inspect (and probably) eat boxes of dozens of doughnuts until he finds one that has at least two smooshed doughnuts. Find the probability that he stops eating doughnuts in one of his first three cartons? e) In ten boxes of doughnuts, what is the probability that at least 8 boxes will have no smooshed doughnuts?
None