a. Suppose that Natasha, Monim and Rehan are serving in a restaurant on roster shifting. On a working day, Natasha, Monim and Rehan are responsible for doing the job 50%, 20% and 30% time respectively. Given that, the probability of breaking a dish during wash for Natasha, Monim and Rehan is 8% 7% and 6% respectively Find

Q: Illustration 31. A lottery sells 100000 tickets of Re. 1 each to award a prize of Rs. 10000 to the…

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Q: a. Suppose that Natasha, Monim and Rehan are serving in a restaurant on roster shifting. On a…

A: Let A1, A2, ... , An be n mutually exclusive and exhaustive events with P(Ai) > 0 for all i = 1,…

Q: Problem 1 Let W (t) be the standard Brownian Motion. Note that W (t) is a Wiener process. (a) Find…

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Q: devised and must be tested before it is put into use. Two hundred people are selected at​ random,…

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Q: Suppose a normal distribution has a mean of 79 and a standard deviation of 7. What is P(xs 93)? O A.…

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Q: Based on 2017 sales, the six top-selling compact cars are the Honda Civic, Toyota Corolla, Nissan…

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Q: c.) Assume that the utility of n dollars is . Write an expression for the expected utility of the…

A: Given: Lets consider the utility of n dollar is 10. Trials=100

Q: Question 3: A game of zumpie consists of 3 teams; 2 teams lose and 1 team wins. Fifty-one teams…

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Q: There are 7 girls and 6 boys in the junior class homecoming committee. A subcommittee of 4 people is…

A: Given that  Total people = 7+6=13 Girls=7 Boys=6 4 people are chosen at random

Q: The Adams County Helath Department predicts that about 20% of the County's population, or about 7500…

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Q: The graph shows the weight of recyclable waste collected in a city from 2011 to 2014. Weight (Tons)…

A: Given data A graph is given for the weights of recyclable waste collected  in a city from 2011 to…

Q: uppose that the heights of female adults in the United States are normally distributed with a mean…

A: Solution-: Given: μ=65.4inches,σ=2.8inches We obtained the following: (a) P(X is between 66 and 70…

Q: Match each set of odds with the probability that the team would win. Odds: 11:4 Odds: 8:7 Odds: 11 :…

A: We have given that the odds represent the chance that a sports team would win the championship game.

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

A: Here, mean is 212.8 and standard deviation is 0.7. We will use z-standard normal distribution.

Q: How many different three-digit numbers can be formed using the digits 1, 5, 9, 7, 4, 8, and 6…

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Q: [6] A machine is used in a production process. From past data, it is known that 97% of the time the…

A: Let  E1 be the event that machine is correctly set up. E2 be the event that machine is incorrectly…

Q: A box contains 2 red, 2 white, and 4 green balls. Two balls are drawn out of the box in succession…

A: We have given that,  A box contains balls are,  Red balls = 2 White balls = 2 Green balls = 4 Then,…

Q: lity that exactly 43 voted bability that exactly 43 of 181 eligible voters voted is to four decimal…

A: Given n=181 X=43

Q: find the probability that the chosen student joined  d) Science club only. e) Mathematics and…

A: Of the 300 grade 10 students of a certain high school, 120 joined Mathematics club, 115 joined…

Q: A card is drawn at random from a standard 52-card deck. Events G and H are G= the drawn card is…

A: Total card = 52 are G= the drawn card is black H= the drawn card is divisible by 4 (face cards are…

Q: 2. Let X be the number of grinders sold by Snack Bar on a particular night. X has the following…

A: Given that  Let X be the number of grinders sold by snack bar on a particular night  Let Y be the…

Q: Suppose that customers arrive at a bank's ATM at the rate of 15 customers per hour. If a customer…

A: Given: λ = 15

Q: You are given the probability tree diagram below. What is the probability that a person has cancer,s…

A: Given information: PCancer=0.018PNo cancer=0.982Ppositive test|cancer=0.555556PNegative…

Q: How many 4-digit numbers can be formed from 0, 1, 3, 5, 7, & 9 if repetition of digits is NOT…

A: Solution-: How many 4-digit numbers can be formed from 0,1,3,5,7 and 9 if repetition of digits is…

Q: Q2. (a) A bakery shops sells an average of 105 cakes per week (i) Find the probability that on a…

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

Q: 23. Refer to Exhibit 4. The standard error of the mean for the sample is a. 0.5000 b. 0.1800 c.…

A: It is given that Population mean = 9 Population SD = 0.18 Sample size n = 121

Q: Urn 1 contains 4 red and 6 white balls. Urn 2 contains 3 red and 6 white balls. A ball is drawn from…

A: Balls in urn 1 4 = red balls 6 = white balls Total number of ball in urn 1 is : 6+4 = 10 Balls in…

Q: The domain of a relation R is the set of integers. x is related to y under relation R if x 2 = y.…

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Q: a. Refer to Table 1: Indicate the most appropriate measure of central tendency for each variable…

A: Descriptive statistics is vital to inferential procedures.

Q: Consider the data below 436.1, 457.6, 442.62, 459.56, 451.14, 478.96, 446.33, 438.15, 492.14,…

A: Given information: Data(x) 436.1 457.6 442.62 459.56 451.14 478.96 446.33 438.15…

Q: So far this month he has seen 59 bluejays, 68 black crows, 12 red robins, and 1 cardinal. What is…

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Q: Three cards are drawn without replacement from the 12 face cards (jack, queen and king) of an…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: Assuming that a test subject is randomly selected from the sample data below, calculate the…

A: The data is given by   Positive Negative Total Uses drug 42 9 51 Not use drug 28 560 588…

Q: A dice has 6 sides numbered 1 to 6. What is the odds against rolling a 2 or a 4. 4:2 6:2 2:4 2:6

A: Odds ratio is the statistics that gives the strength of association between two variables.

Q: d) Compute E[X].

A:

Q: You are given the probability tree diagram below. What is the probability that a person has cancer,…

A: Given information: P(Cancer)=0.018 P(No cancer)=0.982 P(positive test| cancer)=0.555556 P(Negative…

Q: 19. You are given the following payoff table with profits (in $). Decision States of Nature…

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Q: 1. Compute for the experimental probability of having a 4 when rolling a die stu the following…

A: 1. Given formation: Result Frequency 1 19 2 22 3 19 4 21 5 19 6 20 Total 120…

Q: When conducting research on color blindness in males, a researcher forms random groups with five…

A: Probability distribution table X 0 1 2 3 4 5 P(x) 0.660  0.287 0.048 0.004 0.001 0.000 Here…

Q: A traffic control officer reports that 65% of the trucks passing through a check post are from…

A: In question, Given that the probability is 65% and sample of size 5 then we'll find, P(X≥3) = ? The…

Q: 1. Blacklist International has 10 posters waiting to be displayed at the lobby of Tier One…

A: Here Given  Total No of poster to be Displayed=10 No of days for display without repetition=45 X= No…

Q: The probability that a coin is balanced, is .80 and that it is unbalanced is .20. If the coin is…

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Q: A used-car dealer gets complaints about his cars as shown in the table. Number of complaints per day…

A: Given that  Probability distribution  X 0 1 2 3 4 5 6 P(x) 0.01 0.05 0.16 0.28 0.3 0.14 0.06

Q: Example, suppose that the mean number of calls arriving in a 15-minute period is 10. To compute the…

A: Given that

Q: Assume that random events A and Bare independent, A and C are independent, and BC = p. If P(A) =…

A: Given: A and B are independent.A and C are independent.BC = ∅P(A) = P(B) = 12P(AC|ABUC) = 14

Q: 2. What is the probability of the spinner. a. landing on red? b. landing on orange? c. landing on…

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

Q: Q2. (a) A bakery shops sells an average of 105 cakes per week (i) Find the probability that on a…

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

Q: 2. Sue baked a batch of chocolate chip cookies. She made 15 trays of cookies with 20 cookies per…

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

Q: A study wants to investigate whether eating oat bran lowers the serum cholesterol levels. Fourteen…

A: It is given that the sample size n is 14.

Q: Find the missing value of the following combination. 1. C(n,4) = 15 2.C(8, r) = 28

A: