Q8. If P(A) = 0.3, P (BC) = 0.4 and P(An B) = 0.2. Find P(AUB), P (AUB), P (An BC), P(AB) and show that A and B are independent events.

Q: In a certain​ country, the true probability of a baby being a girl is 0.474. Among the next eight…

A: Answer: From the given data,  The true probability of a baby being a girl is 0.474  Among the next…

Q: The optimal scheduling of preventive maintenance tests of some (but not all) of n independently…

A:

Q: a. If the store were to open 4 lanes, how many customers will be in line on average? b. Suggest to…

A: From the given information, the customers will be in line on average is as follows a) Since 40…

Q: (a) Suppose that we roll two six-sided dice and let X and Y be two numbers that appear. Find the pmf…

A: Here given that 2 six sided dice are rolled ,  So ,total possible outcomes = 6 * 6 = 36  NOTE : As…

Q: A bus stops at a bus stop every 45 minutes. Once a person gets to the bus stop, what is the…

A: Here given that bus at bus stop every 45 minutes .  Here we use exponential distribution ,  p(T ≤ t)…

Q: Fill in the ANOVA table. Complete the ANOVA table by filling in the missing values. Source of…

A: An incomplete ANOVA table is given.

Q: A binomial probability experiment is conducted with the given parameters. Compute the probability of…

A: Suppose a random variable x, defines the number of successes.

Q: The mean life of a certain metal saw blade is 30.20 hours, with a standard deviation of 4.70 hours.…

A: Answer:- Given, Mean, µ = 30.20 hours. Standard deviation, σ = 4.70  Sample size, n = 30  Let, X be…

Q: You choose a die at random, and roll it six times, getting the values 4, 3, 6, 6, 5, 5. What is the…

A: Assume that you have two dice, one of which is fair, and the other is biased toward landing on six,…

Q: We have 500 mice and want to determine how effective a given cure for a virus. 10 mice are taken…

A: We have 500 mice and want to determine how effective a given cure for a virus. 10 mice are taken…

Q: 21. Ready for College? The ACT is a college entrance exam. In NW addition to administering this…

A: Mean = 21.9 standard deviation = 4.9

Q: Use normal approximation to estimate the probability of getting exactly 52 girls in 100 births.…

A: n=100 p=0.5       (there are 2 possibilities boy or girl and p=probability of selecting a girl is…

Q: 8. The table below shows the results of a survey on a new government policy. Survey Results B. C. D.…

A: for against no opinion total men 37 29 9 75 women 43 38 8 89 total 80 68 17 164…

Q: (5) To identify the correct expression for the probability "In a box there are Defective and Non…

A: P(defective item) = p  P(check at least 7 items to get two defective) = ?

Q: Problem 1. Suppose you flip 5 fair coins. (a) Make a list of all the possible outcomes (b) Make a…

A: Suppose you flip 5 fair coins. The possible outcomes of flipping 5 fair coins can be represented…

Q: Pizza House offers 3 different salads, 6 different kinds of pizza, and 5 different desserts. How…

A: Pizza house offers; number of different salad=3 number of different kinds of pizza=6 number of…

Q: b) (i) The probability distribution of the number of customers visiting a specialty store each…

A: At first we know for a valid density/distribution  function we have  ∑nP(N=n)=1   and then  For a…

Q: What is the probability of picking 2 non-face cards out of a deck of playing cards if you do not…

A: Answer:- We know that, total number of cards in a deck = 52  The number of non-face cards in a deck…

Q: 5. If XN(1.5,22), and (1.25)=0.8944, (1.75)=0.9599, then P{-2< X <4}= ( ). 10.8543 2 0.3541 3 0.2543…

A: X~N(1.5,22) Mean(μ)=1.5 standard deviation(σ)=2 P(1.25)=0.8944 P(1.75)=0.9599

Q: Assume that the amount of time, in hours, that college students spend per week on homework is…

A: μ=15σ=3 n=75

Q: The weight of laboratory mice follows a normal distribution, with a mean of 0.68 ounce and a…

A: Answer  Mean =0.68 Standard deviation =0.02

Q: A test has 20 multiple choice questions with three options of answer. There is ONE(1) correct…

A: three options of answers for mcq.  P(correct answer) = 13 = p  10 questions are answered n = 10   x=…

Q: Question 2: For the following data. X Y 2 -1 3 3 67 78 98 2 3 5 6 11 11 12 14 14 16 3 3 11 13 (a)…

A: First, we draw the Scatterplot for the given data as follows:

Q: The length of a time required to complete a collage achievement test is found to be normally…

A: let X be the length of time required to complete a college achievement test follow normal…

Q: 3. Suppose F, has density -{{ fa(z)= 1-cos 2nmr, if 0 ≤ ≤1 O.W. 0 Show that F, converges weakly to…

A: To show that Fn converges weakly to the uniform distribution on [0,1], we need to show that for any…

Q: A pet store owner wants to know if a new commercial will bring in more people than the old one. Out…

A: Total number of viewers=500 250 watch new commercial 250 watch old commercial

Q: The company believes that there is a 60% chance that the volume of demand will be high. a.…

A:

Q: Cars arrive at a toll booth according to a Poisson process at a mean rate of 15 cars every 30…

A:

Q: Divide a line segment into two parts by selecting a point at random find the Probablity that the…

A: We have, If a function has a continues cumulative distribution function then the variable X is…

Q: In a certain city, the daily consumption of petroleum in thousand barrels of oil can be treated as a…

A:

Q: 26. Lots of coins. Suppose we toss 100 fair coins and record the percentage of heads. a. According…

A: According to our guidelines, we are supposed to answer only 3 sub-parts. a) The Central Limit…

Q: When Brett Kavanaugh was nominated to be a Supreme Court justice, a survey of 1029 Americans showed…

A: From the provided information, Sample size (n) = 1029 From which 51.1% disapproved of Kavanaugh that…

Q: There are 20 cupcakes at a party; 8 are vanilla, 6 are chocolate, 2 are funfetti, and 4 are carrot…

A: From the provided information, There are 20 cupcakes at a party; 8 are vanilla, 6 are chocolate, 2…

Q: Find the probability of tossing and getting tails and a Coin then drawny a club card from 52 cards…

A: A coin is tossed and the deck of 52 cards are taken.

Q: In each part, we have given the significance level and the P-value for a hypothesis test. For each…

A: (a) level of significance ɑ=0.01, p value=0.06  (b) level of significance ɑ=0.06, p value=0.001  (c)…

Q: A magician shuffles a standard deck of 52 cards and has an audience member choose any card from the…

A: Answer  A magician shuffles a standard deck of 52 cards.

Q: e the empirical probability formula to solve the exercise. Express the answer as a fraction. Then…

A:

Q: Consider a political discussion group consisting of 5 Democrats,10 republicans, and 3 independents.…

A: Consider a political discussion group consisting of 5 Democrats,10 republicans, and 3 independents.…

Q: The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed,…

A: The null and alternative hypotheses are: H0: µ = 8 H1: µ &lt; 8

Q: Potential customers arrive at a small machine maintenance facility according to a Poisson process…

A: We want to find the probability that a customer is turned away, which occurs when all four machines…

Q: Q9. If A, B and C three events make partition for sample space S and D is another event in S such 10…

A: Given: P(A) = P(B) = P(C) = 1/3 P(D|A) = 10/20 P(D|B) = 9/12 P(D|C) = 8/12

Q: an urn contains 4 red balls and 6 green balls. pick a ball; keep it; pick another ball. then the…

A: No.of red balls=4 No.of green balls=6 Total no.of balls=10

Q: Suppose you flip 50 fair coins. (a) How many possible outcomes (microstates) are there? (b) How many…

A: As per our guidelines we are supposed to answer only 3 subparts of any questions so i am solving…

Q: is odd, and F denotes that the number is divisible by four, what outcomes are included in the events…

A: A random experiment consists of selecting an integer from 1 through 10. U = universal set include…

Q: f her most popular works. If she signs with the network she will receive he signs with the movie…

A:

Q: II. Proving Show that P(AB) ≥1-P(A)-P(B), where A, B is any two events.

A: A and B two events are given

Q: 1. A mail-order computer business has six telephone lines. Let X denote the number of lines in use…

A: 1)Answer:- Let X denote the number of lines in use at a specified time. The PMF of X is given in the…

Q: Four rats are selected at random from a cage of 5 male (M) and 4 female (F) rats. If the random…

A: Total number of rats N = 9 Number of male rates K = 5 Rats chosen in sample n = 4

Q: P(X₁ = x₁) * ∏ᵢ₌₂³ P(Xᵢ = xᵢ | X₁ = x₁, ..., Xᵢ₋₁ = xᵢ₋₁).

A: We solve the problem, by expressing the joint probability as the product of a joint probability and…

Q: (a) Find px₁,...,xk (X1, X2, · · ·‚ Xk). (b) Find px;(x;) for any 1 ≤ i ≤ k.

A: Thus, we found out the joint distribution of X1,X2,X3,.....,XK