(Poisson Distribution). A car company sells on the average 6.2 BMW X6 per week. Assuming Poisson distributions are appropriate:() find the probability that in a given week the company will sell:(a) some BMW X6:(b) 2 or more BMW X6 but less than 5 BMW X6:(ii) (a) assuming that there are 6 working days per week, find the probability that in a given day the company will sell exactiy oneBMW X6:Answer:(b) when answering the question in (a), you have worked with a random variable having a Poisson distribution with parameter (eventrate):Answer:

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Answered: () find the probability that in a given…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Coin A has a probability of head equal to 1/4 and probability of tail equal to 3/4 and coin B is a fair coin. Each coin is flipped four times. Let the random variable X denote the number of heads resulting from coin A and Y denote the resulting number of heads from coin B. (a) What is the probability that X = Y = 2 ? (b) What is the probability that X = Y ? (c) What is the probability that X > Y? (d) What is the probability that X + Y< 5?
The probabilities of events E, F, and EnF are given below. Find (a) P(EIF), (b) P(FIE), (c) P (EIF'), and (d) P (FIE'). 1 P(E) = ₁ P(F) = —, P(ENF) = =1/11 a. P(EIF) = (Type an integer or a simplfied fraction.) b. P(FIE) = (Type an integer or a simplfied fraction.) C. P (EIF') = (Type an integer or a simplified fraction.) d. P (FIE') = (Type an integer or a simplfied fraction.)
Obtain the expected value of a random variable with four values 1,2,3,4 with probabilities P(1)= 1/4 ; P(2)=1/4 ; P(3)=1/8 ; P(4)=3/8
In a digital communication channel, assume that the number of bits received in error can be modeled by a binomial random variable, and assume that the probability that a bit is received in error is 0.0001. If 150,000 bits are transmitted, what is the probability that errors are between 10 and 18? How to compute P(X=10)= (150000c10)(0.0001)10(1-0.0001)150000-10
Q.No.3. (a) A bag contains 12 balls, 4 of which are red, 3 black and 5 green. Three balls are drawn from the bag. Find the probability that (i) all three are green (ii) The first is red, second is green and third is black. (b) A sale person has a 40% chance of making a sale to any customer who is called upon. If 18 calls are made, what is the probability that (i) at most 3 sales are made (ii) at least 17 sales are made.
(a) In the random number table, assign the digits 0 through 8 to the event "successful surgery" and the digit 9 to the event "unsuccessful surgery." Does this assignment of digits simulate 90% successful outcomes? Yes No (b) Use the random digit assignment model of part (a) to simulate the outcomes of 15 trials. Begin at column 1, line 2. (Enter S for success and F for failure, separated by commas.) (c) Your friend assigned the digits 1 through 9 to the event "successful surgery" and the digit 0 to the event "unsuccessful surgery." Does this assignment of digits simulate 90% successful outcomes? Yes No Using this digit assignment, repeat part (b). (Enter S for success and F for failure, separated by commas.)
An experiment can result in one of five equally likely simple events, E₁, E₂, A: E₂, E4 2' P(A) = = 0.4 B: E₁, E3, E4, E5 P(B) = 0.8 C: E₂, E3 Refer to the following probabilities. P(A n B) = 0.2 P(AIB) = 0.25 P(BIA) P(BU C) = 1 P(BIC) 0.5 P(CIB) 0.25 Use the Addition and Multiplication Rules to find the following probabilities. (a) P(AUB) (b) P(An B) = 0.5 P(A U B) = ---Select--- + ---Select--- ✓ P(A n B) = ---Select--- (c) P(B n C) Yes P(B n C) = ---Select--- No P(C) = 0.4 . P(B) = = P(C) = = ---Select--- V = Do the results agree with those obtained by listing the simple events in each? P(A U B) = P({E₁, E₂, E3, E4, E5}) = 1 P(A n B) = P({E₁}) = 0.2 P(B n C) = P({E3}) = 0.2 .., E5. Events A, B, and C are defined as follows.
A G's production of 950 manufactured parts contains 70 parts that do not meet the customer requirements . Two parts are selected randomly without replacement from the batch. What is the probability that the second part is defective given that the first part is defective?
56.6
Suppose an online shop is selling 10 scientific calculators but the seller is unaware that 2 of these calculators are defective. Suppose you buy 3 scientific calculators from this shop, determine the (a) probability distribution (tabulate) and the (b) cumulative distribution of the random variable X representing the number of the scientific calculators that are defective. and what is the probability that all calculators bought from the shop are functioning properly and what if only 1 calculator is functioning properly
A news company reported that 6% of adult Americans have a food allergy. Consider selecting 15 adult Americans at random. Define the random variable x as x = number of people in the sample of 15 that have a food allergy. Find the following probabilities. (Round your answers to three decimal places.) (a) P(x < 2) (b) P(x ≤ 2) (c) P(x ≥ 3) (d) P(1 ≤ x ≤ 2) You may need to use the appropriate table in the appendix to answer this question.
I am confused when to use BinomPDF vs. BinomCDF; Find the probability that 17 or more of these 44 randomly-selected burials are babies. I know that from the probability is 13/51, I gathered this from the larger sample of data, however I do not know how to compute "or more"/"or fewer".

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