Giving a test to a group of students, the grades and gender are summarized below. If one student was chosen at random, find the probability that the student was female or earned a B.   A B C Total Male 8 18 13 39 Female 10 4 12 26 Total 18 22 25 65

Q: K A family chosen at random has ten children. In the following questions, assume that each child…

A: We have given that number of children (n) = 10 probability of male or female (p) = 1/2 = 0.5 Here we…

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

A:

Q: You flip a fair coin five times. a. List all possible outcomes using a tree diagram or an "odometer"…

A: A coin is flipped five times. The number of outcomes are 25=32 Each outcome is independent and…

Q: Consider the random Variable X with Probability density f(x = 1 3x² 2 for -1<x<l elsewhere Find the…

A: A random variable X has a PDF f(x) given by:- fx=3x22       -1&lt;x&lt;10             elsewhere

Q: Consider a collection of envelopes consisting of 1 red envelope​, 2 blue envelopes​, 2 green…

A: Given,no.of red envelopes=1no.of blue envelopes=2no.of green envelopes=2no.of yellow…

Q: Suppose a jar contains 15 red marbles and 18 blue marbles. If you reach in the jar and pull out 2…

A: Given: number of red marbles=15 number of blue marbles=18 total=15+18=33

Q: Suppose Y uni f (0,5). Determine the probability that the following quadratic equation x² + 2xy + Y…

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: 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…

Q: Let X be a random variable with distribution Ber(p) and let n be a natural number. Find the…

A: It is given that X follows Ber(p), then  X can take values 0 and 1 with probabilities (1 - p) and P…

Q: 9. Suppose that we survey 20 people working for a large company and ask each whether they favor…

A: It is given that  Sample size n = 20 Favourable cases, X = 6

Q: A box contains ten cards labeled Q, R, S, T, U, V, W, X, Y, and Z. One card will be randomly chosen.…

A: given data S:{Q,R,S,T,U,V,W,X,Y,Z}select onecard at random P(letter U to Z) = ?

Q: Suppose that X has a discrete distribution with the following cumulative distribution function 0.35…

A:

Q: Use the data to generate any three (3) appropriate graphs. *You answer should include a total of…

A: Essay Quarrie Taylor Wilson Forbes 1 62 63 65 68 2 58 60 61 64 3 63 68 72 58 4 64 65 65 61…

Q: 7.) Several years ago, the US began running out of telephone numbers. Telephone companies introduced…

A: Introduction: It is known that US telephone numbers have 3-digit area codes.

Q: n a completely random DNA sequence four nucleotides are determined.  What is the chance that they…

A: given data DNA sequence four nucleotidesP(sequence ATCG) = ?

Q: 1. A ball is drawn randomly from a jar that contains 6 red balls, 2 white balls, and 5 yellow balls.…

A: Answer:1- A ball is drawn randomly from a jar that contains 6 red balls, 2 white balls, and 5 yellow…

Q: A Ferrari rental company charges a base rate to rent a Ferrari plus an additional fee based on how…

A: Data is given for miles and corresponding cost We have to calculate cost for 143 miles

Q: Using the multiplication principle, Evaluate:  (a) P(13,3) = (b) P(19,5)

A: permutation formula: P(n,r) = n!(n-r)! we have to Evaluate:  (a) P(13,3) = ? (b) P(19,5) = ?

Q: 5.5. A filling station is supplied with gasoline once a week. If its weekly volume of sales in…

A: Given that We have to find the capacity of the tank be so that the probability of the supply being…

Q: The election commission in a certain county has decided that before electronic voting machines can…

A: Given machines will correctly record more than 99% of the ballots cast

Q: I have 3 events, A with probability of happening is 2/11, B happening is 5/11, C happening is 4/11…

A: given data P(A) = 211P(B) = 511P(C) = 411   P(A') = 1  - P(A) =1-211 =  911P(B') = 1 - P(B) = 1 -…

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: Suppose that the number of weekly hours spent by gamers playing video games is normally distributed…

A:

Q: In a survey, 205 people indicated they prefer cats, 160 indicated they prefer dogs, and 40 indicated…

A: From the provided information, 205 people indicated they prefer cats, 160 indicated they prefer…

Q: Let X₁, X2, X3, Xn denote a random sample of size n from the population distributed with the…

A:

Q: d) Suppose that the results of carrying out the hypothesis test lead to non-rejection of the null…

A: part(D)

Q: A null hypothesis of the form Ho: μ = 20, is being tested against H₁ : µ ‡ 20, where is the…

A: Given H0 :  μ=20

Q: 8. An advertising agency notices that approximately 1 in 50 potential buyers of a product sees given…

A:

Q: 6) The sensitivity of a medical test is defined as the probability that the test will be positive,…

A: Let ,  C = women has breast cancer  C¯ = women does not have breast cancer  P = Test positive  N =…

Q: Two balls are selected at random from an urn that contains three white balls and seven red balls.…

A: Given Two balls are selected at random from an urn that contains three white balls and seven red…

Q: A tourist in France wants probability that she will vi

A: We have given a tourist in France wants to visit 7 different cities We have to find the probability…

Q: you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability…

A: given data, if you randomly select a card from a well- shuffled standard deck of 52 cars,probabilty…

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: Find the cumillarve drombuhon hinction (cap) and the probability donorhy function (pop) of the…

A: We have a 12meters rod broken into two parts then we have to find the cdf and pdf

Q: I have the following hypothesis: Null Hypothesis: The average height of men is 170 cm. Alternative…

A:

Q: Campbell’s is testing 12 new soups for possible production. They are testing 3 Chunky soups, 4…

A: Given,no.of chunky soups=3no.of Healthy Request soups=4no.of Select Harvest soups=5Total no.of…

Q: The probability that your classmate likes ice cream is 80%. And the probabability that they like…

A:

Q: 4 (a) At a certain charity fundraiser, some guests will be randomly selected to receive a gift. The…

A:

Q: For the two events E, F, let P(F) = 0.240, P(E I F') = 0.303, and P(E I F) = 0.375. Find: (i) P(E ∩…

A: Given,P(F)=0.240P(E|F')=0.303P(E|F)=0.375

Q: Show that the mean and variance of the random variable Y are 0 and 1, respectively.

A: It is given that  X follows N(θ, 1), then E(X) = θ and V(X) = 1,

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: A blood test indicates the presence of a particular disease 96% of the time when the disease is…

A: given data,event A=person has disease event B =test indicated person has disease P(B|A) = 0.96…

Q: For the two events E, F, let P(F) = 0.240, P(E I F') = 0.303, and P(E I F) = 0.375. Find:   Find:…

A: It is given that  P( F ) = 0.240,   P( F’ ) = 1 - P( F ) = 0.760 P( E/F’ ) = 0.303 P( E/F ) = 0.375

Q: A rondom Variable x takes value X; with Probabil Pi with i=1 labelling all possibilities. The m N

A:

Q: What's the probability of getting exactly two heads in three coin tosses? A.1/8 B.1/4 C.1/2…

A: given data ,here we have to find out the probabiltty of  getting two heads  in three  tossestotal…

Q: James is in charge of planning a reception for 1800 people. Predict the number of people who…

A: Total = 32+25+46+65 = 168

Q: Exercise 2.3.The following table gives the weight (lbs) and age (years) of 4 persons. Amy Bob Chris…

A: Solution: From the given information,

Q: Assume that a procedure yields a binomial distribution with a trial repeated n=20n=20 times. Find…

A: Given that n= 20 , p = 19/60 , x = 11 Using the binomial distribution