It has been reported that 5% of all cars on the highway are traveling at speeds in excess of 70mph. If the speeds of four random auromobiles are measured via radar what is the probability that at least one car is going over 70 mph

Q: Assume that a procedure yields a binomial distribution with a trial repeated n=17n=17 times. Find…

A: Answer: - Given, a binomial distribution with a trial repeated n=17 times, q = 0.51…

Q: Suppose you have an urn containing 6 red and 4 blue balls. You draw 3 balls at random. On each draw,…

A: We have given that  An urn contain 6 red and 4 blue balls  And we have draw 3 balls at random

Q: Q7. Suppose that someone makes an average of one spelling mistake per email they send. What is the…

A: Given: An average of one spelling mistake is made per email.

Q: blue bricks. Determine the probability of randomly selecting a Chrome-Black brick. Express this…

A: It is given that  Red bricks = 190 Yellow bricks = 320 Blue bricks = 250 Chrome-black bricks = 30…

Q: following probability density function: ((0+1)xº, if 0 < x < 1 elsewhere f(x; 0) = = {0 + 0, Find…

A: It is given that the probability density function of X is f(x; θ) = { (θ + 1)•xθ,  if 0 &lt; x &lt;…

Q: A new diagnostic test is developed for Foot-and-Mouth Disease (FMD). The probability that the test…

A: Given information: The probability that the test is positive if an animal has FMD is 0.95.…

Q: A.342 hitter comes to bat four times in a game. What is the probability of his getting no hits? What…

A: Followings are the Explanation of the question

Q: What is the minimum sample size (whole number) for a study of STOP sign compliance with proportion…

A: Given information: p = 0.30 Margin of error=7%=0.07 Confidence level = 0.938 Minimum sample size = ?…

Q: Indigo A.G. enters into a contract with a customer to build an apartment building for €1,031,300.…

A:

Q: special deck of 20 cards has 5 that are red, 5 yellow, 5 green, and 5 blue. The five cards of each…

A: It is given that a special deck of 20 cards has 5 that are red, 5 yellow, 5 green, and 5 blue.Red…

Q: Problem 1 Let X be a Poisson random variable with parameter 1 > 0, i.e. P(X = k) = Ak k! Show that…

A: A discrete random variable X is said to follow Poisson distribution with parameter λ, if its…

Q: 49. A fair coin is tossed twice. Consider the sample space S = {HH, HT, TH, TT} of equally likely…

A:

Q: A company has 7 male and 10 female employees, and needs to nominate 3 men and 3 women for the…

A: Solution-: Given: Number of male employees=7, Number of female employees=10 We needs to nominate 3…

Q: Suppose 80% of a population opposes a proposal and a sample of size 5 is drawn from the population.…

A: Given n=5 p=0. 2 q=0.8

Q: Problem 3 i.e. Let W, be a negative-binomial variable with parameter p € (0,1), -{C-D²-p=r i=+1...…

A: We have Wr negative binomial random variable with parameter r and p and PMF given by…

Q: The number of x people entering the intensive care unit (ICU) at a particular hospital on any given…

A: From the provided information, The number of people (x) follows Poisson distribution with mean rate…

Q: A rondom Variable x takes value X; with Robabilty Pi, with (= 1,... N labelling all possibilities.…

A: A random variable X takes values Xi with probability Pi where i=1,2,....,N The mean value of X is,…

Q: 2. i. Show that p(x) = x=2 10 x3³ +1 62 ii. Show that f(x) = x = 3,4,5,6, is a valid probability…

A:

Q: i) Show that the standard score of the sample mean X, is equal to Y. ii) Show that the mean and…

A: It is given that  X follows N(θ, 1), then E(X) = θ and V(X) = 1, And the moment genarating function…

Q: A special deck of 20 cards has 5 that are red, 5 yellow, 5 green, and 5 blue. The five cards of each…

A: Total=20 cards  Red=5 Yellow=5 Green = 5 Blue= 5  Probability=favorable/total

Q: A large portfolio of policies is such that a proportion of p, 0<p<1 incurred claims during the last…

A: Solution: Let X be the number of policies with claim. From the given information, n=25 and p=0.1.

Q: Compute the probability of 7 successes in a random sample of size n = 15 obtained from a population…

A: HERE population size N=40no of success in population =20population proportion for success=pp=xn…

Q: Show that In (X;) is a sufficient estimator of 0. [Hint: Use one-parameter regular exponential…

A: It is given that X has the pdf  f(x) = (θ + 1).xθ , 0 &lt; x &lt; 1

Q: 6. Let A, B, and C be sets. Verify the following (you can use a membership table) a) An (BUC) =…

A: ∩ : and  ∪ : or  We have to prove :

Q: For two events, M and N, P(M)= 0.4, P(N|M) = 0.3, and P(N|M') = 0.2. Find P(MIN'). P(MIN') =…

A: (Q-1)P(M) = 0.4             P(M') = 1-0.4 = 0.6P(N|M) = 0.3        P(N'|M) = 1 - 0.3 = 0.7P(N|M') =…

Q: A certain transmission system has 2 transmission modes. In Mode 1, the transmitted signal X is…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: A particular fruit's weights are normally distributed, with a mean of 342 grams and a standard…

A: given data normal distribution μ = 342σ = 9n = 15P(337&lt;x¯&lt;339) = ?

Q: Haroldo, xerxes, regina, shaindel,Murray,Norah, and Georgia are invited to a dinner party. They…

A: Given,Total no.of people=7

Q: (1) This problem concerns a standard deck of 52 cards. A hand consists of 5 cards. When you approach…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Assume that a procedure yields a binomial distribution with a trial repeated n=8n=8 times. Find the…

A: From the provided information, Number of trials (n) = 8 Probability of failure (q) = 0.42

Q: A random Variable x takes value X; with Probabilty Pi with i=1N labelling all possibilities. The…

A:

Q: There is a 1/5 chance that it will rain tomorrow.  If it rains tomorrow, there is a 7/10 chance that…

A: By using tree diagram to find the probability

Q: A green marble is drawn. What is the probability that it came from Jar 2?

A: Let us define some events  A : Jar 1 is selected. B : Jar 2 is selected C : Jar 3 is selected. E :…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 11.5…

A: given data normal distribution μ=11.5σ=1.5n=13P(x¯&gt;11)=?

Q: Willie Keeler has a lifetime batting average of 0.341. Assume that Willie Keeler came to bat…

A: Given P=0.341 n=3

Q: Suppose that 20% of all voters prefer Candidate A. If 7 people are chosen at random for a poll,…

A: It is given that  P( success ), p = 20% = 0.20 Sample size, n = 7  ( fixed ) We should use Binomial…

Q: Let A and B be two events in a sample space S such that P(A) = 0.6, P(B) = 0.4, and P(A ∩ B) = 0.3.…

A: According to the given information in this question We need to find the following probabilities

Q: The graph shows the relationship between the number of cars on a certain road and the time of day…

A: The graph showing relationship between the number of cars on a certain road and the time of the day…

Q: There are three urns that each contain 10 balls. The first contains 3 white and 7 red balls, the…

A: Given There are three urns that each contain 10 balls.

Q: There are 4 red balls, 3 white balls and 2 blue balls in a bag. If a person selects two of the balls…

A: Total number of balls in a bag = 99 balls = 4 red balls, 3 white balls and 2 blue balls

Q: Compute the probability of drawing two spades from a deck of cards.

A: There are 13 spades in a standard 52 deck of cards.

Q: Two cards are drawn without replacement from an ordinary deck. Find the probability that two clubs…

A: Given, two cards are drawn from an ordinary deck. There are 13 cards of clubs in a deck.

Q: (b) The expression for the joint probability density function of the transformed random variables U…

A:

Q: iii) Show using the moment generating function technique that Y is a standard normal random…

A: It is given that  X follows N(θ, 1), then E(X) = θ and V(X) = 1, And the moment genarating function…

Q: 10. Suppose that the probability of engine malfunction during any one-hour period is p = 0.02. (a)…

A: p = 0.02  q = 1-p = 1-0.02 = 0.98 P(engine will survive 3 hours)=? Mean and standard deviation of x…

Q: Sales delay is the elapsed time between the manufacture of a product and its sale. According an…

A: Given information: μ=2.06σ2=0.03

Q: Suppose we want to choose 6 colors, without replacement, from 11 distinct colors. (a) If the order…

A: GivenTotal no.of distinct colors(n)=11No.of colors to choose(r)=6

Q: A lucky draw involves rolling a six-sided dice. If you roll a 6, you will win $300. If you roll a 5,…

A: Given information, A lucky draw involves rolling six-sided dice. The probability of getting any…

Q: . If a male passenger is randomly selected, find the probability that he can fit through the doorway…

A:

Q: iii) What is the value of the sample size m, if P(|Ỹ — µỹ| ≥ 10) < 0.04?

A: First we have to calculate the mean and variance of Y then we will use the Chebychev's inequality to…