Example An insurance salesman sells policies to 5 men all of identical age and good health. According to the actuarial tables, the probability that a man of this particular age will be alive 30 years hence in 2/3. Find the probability that 30 years hence (i) at least 1 man will be alive, (ii) at least 3 men will be alive.

Q: In a semiconductor manufacturing process, three wafers from a lot are tested. Each wafer is classifi...

A: Sample size (n) = 3  Probability a wefer passes a test (P) = 0.8 X takes values 0,1,2,3. By using bi...

Q: B. Fruity Combination – In the second round, Shawn has to correctly guess the combination of four fr...

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Q: Monica, as she prepares for morning announcements, overhears that her principal has been fired. She ...

A: Grapevine pattern is used in various organizations and this method of communication is not approved ...

Q: How many 4-digit odd numbers can be made from the digits 0; 2; 4; 5; 8; 9 if the number has no repea...

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Q: that the numbers on them make up a certain four-digit number. Find the likelihood that when installi...

A: Here use basic probability  Probability = #favourable outcome/#total outcomes  In the "secret" lock ...

Q: Suppose the decision rule is "Reject Ho if the mean score of the sampled BP graduates is greater tha...

A: Hypothesis testing : Hypothesis testing is a type of statistical inference that uses sample data to ...

Q: Find P(saving patient)

A: here as per guidelines i have calculated first main question kindly repost remaining with note i nee...

Q: From the given probability distribution, obtain CDF of X *

A: Here We show the table for Its CDF

Q: Among 18 details manufactured by factory, 15 are standard. (A) If 4 details are chosen at random, wh...

A:

Q: Number 1, letters d,e, and f

A: Hypothesis are statement about the population. There are two types of hypothesis, they are null and ...

Q: We assume that the temperature during the month of March follows a normal distribution with an expec...

A:

Q: A ball is drawn at random from a container that holds 8 yellow balls numbered 1 to 8, 6 orange balls...

A: A) There is total 8 yellow balls numbered 1 to 8, 6 orange balls numbered 1 to 6, and 10 gray balls ...

Q: use a normal approximation to find the probability of the indicated number of voters. in the case, a...

A: Given,n=136p=0.22mean(μ)=npmean(μ)=136×0.22mean(μ)=29.92standard deviation(σ)=np(1-p)standard deviat...

Q: In an examination 30% of the students have failed in Mathematics, 20% of the students have failed in...

A: Solution is given:

Q: 13. When a fair die is tossed, what is the probability of getting an even number? A. % В. 1/2 C. 1/3...

A: We have given,  (13) Fair die is tossed then sample space (s) is,  S = { 1, 2, 3, 4, 5, 6 } Then,  W...

Q: 3. Find the number of words, with or without meane O* ân be formed A. PROBLEM SOLVING: Find the numb...

A: Solution

Q: dally. (a) Approximate the probability that more than 10500 commuters will use the light rail daily.

A: Here use normal approximation 

Q: Find the probability P(μ – σ < X < μ + σ) if X has a Binomial distribution  with n = 15 and p = 1/3.

A: Given: X has a Binomial distribution with n = 15 and p = 1/3.   

Q: What is the probability of obtaining a head in the toss of an unbiased coin?

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Q: Suppose that the data below are independent observations on random variables Yı, Y2, ., Yı2 from an ...

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Q: S, CLIvely. Find the conditional PMF of Y , given X = x, for x = 0, 1, ..., 20.

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Q: TA SET Stalk Length (cm) Root Length (cm) Leaf Count Plant 1 10.1 4.4 35 Plant 2 21.55 ...

A: Regression equation : the regression equation is the equation is Y= a + bX, where Y is the dependent...

Q: A home security system is designed to have 99% reliability rate. Suppose that nine homes equipped wi...

A: We have given that  Number of trials n=9 Success of probability p=0.99 X~binomial ( n , p) q= 1 -p N...

Q: Among 18 details manufactured by factory, 15 are standard. (B)Let X be the number of standard detai...

A:   Given:  no of details manufactured by factory =18  no of standard details=15  probability of stand...

Q: A particular professor never dismisses class early. Let x denote the amount of time past the class e...

A: We have given that  Probability distribution function. f(x)= 1/(b - a) , a &lt; x &lt; b  Where a= 0...

Q: Question 3* Suppose that a certain type of metallic tube contains on the average five defective per ...

A:

Q: The random variable x has a probability mass function given in the following table -5 -4 1 2 P(x) 1/...

A: Given data is  x -5 -4 1 2 P(x) 1/4 1/8 1/2 1/8  

Q: The score on a standardized test for a certain year is modeled using the normal distribution shown b...

A: It is given that the mean is 56.7 points and the standard deviation is 4.8 points.

Q: An average of 2.5 visitors come to the barber’s during a day. Assume that the number of visitors is ...

A: GivenAn average 2.5 visitors come to the barber's during a dayλ=2.5 Let "x" be the no.of visitors pe...

Q: You draw two cards from a well-shuffled deck of 52 cards, forming a 2-card hand. 1. What is the prob...

A: It is known that Total cards in a deck = 52 Number of aces = 4

Q: Determine the cumulative distribution function for f(x) = - wherex is thetimeto failure of an electr...

A: Given,f(x)=13000e-x3000      ;    x&gt;0

Q: Give any example of a probability distribution over x and y for a classification problem on the real...

A: Bayes Theorem If A1,A2,A3,...An are disjoint sets whose union is the sample space 'S' and E is the e...

Q: James and Harry play baseball and each of them can score one goal with the probabilities of 0.4 and ...

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Q: 4. The data below represents the weights of patient fitted with a holter monite pounds). 120 172 207...

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Q: a. Solve for the value of a and b for the discrete probability distribution to be legitimate. b. Sol...

A: Here use given distribution of X

Q: mong the students of AUCA, 30% know two foreign languages. Find the mean and the standard deviation ...

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Q: protection (number them 1 to N). Someone is going to pick one e ect. Suppose that the attacker is go...

A: *Answer:   

Q: Ho :p 2 0.5 vs. Hị : p< 0.5. i.e. the hypothesis that candidate A will not loose the election). Supp...

A: The null and alternative hypotheses are: The test is left-tailed.   Sample size (n) = 20

Q: Complete the table. Express answers up to two decimal places. X 1 90 82 6. 75 10 -1.3 48 36 4.8 4 48...

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Q: In each problem, please indicate what kind of permutations is involved, then solve. Show your comple...

A: Since you have asked multiple questions, we will solve first three subparts for you. To get remainin...

Q: There is a brother and sister, Jen and Betty, are among the 7 men and 5 women. (iii) Find how man...

A: Number of ways only Jen is selected for the committee but not Betty is 6C1*4C2 , as for male members...

Q: The joint probability function of two discrete random variables X and Y is given by f(x,y)=(1/42) (2...

A:

Q: (A)  If 5 details are chosen at random, what is the probability that all details are standard? (B)  ...

A:

Q: Activity 9. Solve the following problems: 1) Out of the 45 books in the bookshelves, 18 are mathemat...

A: Note: Please repost 2nd question as I can author only 1 question as per my policy.Given data,Total n...

Q: Suppose you collect 1000 samples of size 82 from a population with parameter p = 0.113. If you const...

A: Solution-: We have,1000 samples of  size 82 We find the how many intervals would expect to contain t...

Q: 15. 3 4 5 P(x) 10 ? 10 -/- 2.

A: Here use basic probability rule  Total probability always equal to 1

Q: Evaluate P( 7, 4) 840 804 540 480

A: We have nPr = n!(n-r)! nCr = n!r!*(n-r)!  

Q: 3. The probability of a biased dice landing on 6 is 0.4, Find the mean and variance of the number of

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Q: 2. A student did not study for Philosophy quiz which consists of 10 true or false questions. If the ...

A: Introduction: It is required to find all possible number of answers that can be given to the true or...

Q: Assume that the number of asbestos particles in a square meter of dust on a surface follows a Poisso...

A: We have given that the number of asbestos particles in a square meter of dust on a surface follows a...