8. Records maintained by the Budget Office in a particular LGU indicate that the amount of time elapsed between the submission of travel vouchers and the final reimbursement of funds has approximately a normal distribution with a mean of 39 days and a standard deviation of 6 days. a. What is the probability that the elapsed time between submission and reimbursement will exceed 50 days?

Q: yellow Labrador retrievers. If 8 puppies are selected at​ random, determine the probability they are…

A: Given Total number of puppies=20

Q: You and your best friend are part of a group of 102 students which are to be divided into 3 classes…

A: Group of 102 students Divided in 3 equal classes ( 102/3 = 34 students in each group) P(both friends…

Q: A manufacturing firm finds that 70% of its new hires turn out to be good workers, and 30% become…

A: Method: Using the probability tree diagram

Q: Consider a dataset containing the heights of 38 females who said they prefer to sit in the front of…

A: Givensample size(n)=38Mean(x)=62standard deviation(s)=2.5significance level(α)=10%=0.10The null and…

Q: People who diet can expect to lose an average of 3kg in a month. In a book, the authors claim that…

A: Note: Thank you for the question. Since multiple questions are posted, we are answering the first…

Q: Given P(E or F) =0.65 , P(E) = 0.42 and P(EandF) = 0.02 , what is P(F) ?

A: We have given that P(E or F) = 0.65 P(E) = 0.42 P(E and F) = 0.02 We have to find P(F) ?

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

A: part(D)

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: 2.) A couple has narrowed down the choice of a name for their new baby to 4 first names and 5 middle…

A: Given A couple has narrowed down the choice of a name for their new baby to 4 first names and 5…

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: A study showed that 67.9% of occupants involved in a tatal car crash wore seat belts. Of those in a…

A: Given: A study showed that 67.9% of occupants involved in a fatal car crash wore seat belts. Of…

Q: If A and B are disjoint events, P(A) = 0.3 and P(B) = 0.6. then P(An B) = ( )

A: GivenP(A)=0.3P(B)=0.6A and B are disjoint events

Q: Vanessa, a research director, is conducting an experiment to determine the effectiveness of…

A: Given data is   Treatment Outcomes None Pruning Antibiotic Totals 0 to 2 years 39 35 27 101…

Q: vision game show has 9 ​doors, of which the contestant must pick 3. Behind 2 of the doors are…

A: behind 2 doors the  expensive cars  behind 7 doors the consolation prizes total 9 doors   select 3…

Q: 4.) How many ways are there to seat 6 people in a row?

A: given data  we have to find number of ways to arrange 6 peoples in a row.

Q: For independent events A and B, P(A) = 0.628 and P(B) = 0.886. What is P(B | A)? Round your answer…

A: P(B|A) = P(B∩A)/P(A)  For independent events :  P(B∩A) = P(B)*P(A)

Q: 9.) The organizers of a fundraiser set up an ice cream station at their event. Each serving will…

A: Given data The organizers of a fund raiser set up an ice cream station at their event

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

A: There are N different values taken by a random variable Xi with respective probability pi. The…

Q: Use the Venn diagram below to find the conditional probabilities (a)    P(EC | F (b)    P(FC | E)

A:

Q: 4. Suppose that the random variable X has density function Jo, and suppose that Y = e-X. fx (x) =…

A:

Q: A probability distribution has a mean of 50 and a standard deviation of 8. Use Chebyshev's…

A: Given;A probability distribution has a mean of 50 and a standard deviation of 8.

Q: (d) Use the known information on the estimate the true average age of the trees. Construct the 95%…

A: Tree No Diameter  (x) Age (y) 1 12 125 2 11.4 119 3 7.9 83 4 9 85 5 10.5 99 6 7.9 117…

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

A: given datan = 8P(success) = p = 0.42P(x=8) = ?

Q: . You spin a spinner with 7 possible values, 0 to 6. Find the probability that: (a) The arrow will…

A: GIVEN DATA, spin a spinner with 7 posiible values, 0 to 6sample space :{0,1,2,3,4,5,6)total outcomes…

Q: Step 1. Hypotheses Set-Up: Ho: Select an answer ✓ = Ha: Select an answer ? V Step 2. The…

A: It is given that the population standard deviation of TV watching times for teenagers is different…

Q: 1. In an Oreo factory, the mean mass of a cookie is given as 40 g. For quality control, the standard…

A: As per our guidelines we are suppose to answer only one question kindly post the remaining questions…

Q: (a) In a family of six children, what is the probability that there will not be a male child?…

A: If a family has 6 children than the possible outcomes ares=26s=64

Q: Compute the probability of tossing a six-sided die and getting an even number.

A: When we toss a six-sided die then the possible outcomes are S = { 1,2,3,4,5,6}  = n(S) = 6 Formula…

Q: For pe (0, 1), let X - Geom(p), i.e. P(X=n} = (1-p)"-¹p for n € N.. Show that EX=. Hint: Use the…

A: Given information: PX=n=1-pn-1p, n∈N Formula for E(X): EX=∑nnPX=n

Q: Maria is playing a carnival game. She is blindfolded while she throws a dart at a board of 12…

A: We have given that Number of small stuffed balloons = 5 Number of medium stuffed balloons = 1 Number…

Q: A teacher has found that the probability that a student studies for a test is 0.75, and the…

A: Givenprobability that a student studies for a test =0.76Probability that a student gets a good grade…

Q: At a race track you have the opportunity to buy a ticket that requires you to pick the first and…

A: pick the first and second places in the firdt two races.  first race runs 12 horses second race runs…

Q: This year, there are nine freshmen, nine sophomores, nine juniors, and seven seniors are eligible to…

A: As per our guidelines, we have provided answer for first 3 sub-parts only. Please repost other…

Q: For Jermaine’s birthday, he can choose his gift from a stack of 4 sealed cards. Each card has one of…

A: Solution: For Jermaine’s birthday, he can choose his gift from a stack of 4 sealed card Let 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 Determine the mean and standard deviation of the given distribution…

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

A:

Q: s can this be done, if the order of the choices is taken into s can this be done, if the order of…

A: Given Suppose we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D.

Q: The monthly income of 5,000 workers at the URC plant are distributed normally. Suppose the mean…

A: Hey, since there are multiple subparts posted, we will answer first three questions. If you want any…

Q: The PDF of a random variable is if x < 4 if x ≥ 4 f(x) = { 0, A (7+x)²⁹

A: Given pdf is, fx=0, if x&lt;4A7+x2, x≥4

Q: Need explanation and proper formatting, so that I can read and understand it...

A: Population :  N=40  Success (S)=20  Sample :  n=15 success (s)=7  Here ;  Population and sample both…

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

A:

Q: Normal distribution What is wrong with the following statement? "Because the digits 0, 1, 2..., 9…

A: Solution-: Normal distribution What is wrong with the following statement? "Because the digits 0, 1,…

Q: Given that a patient survived, what is the probability that the patient was categorized as serious…

A: Let us define some events  A : a person is critical. B : a person is serious. C : a person is stable…

Q: A pair of dice is rolled. What is the probability of getting a sum of 12? What is the probability of…

A: From the provided information, A pair of dice is rolled. Total outcomes = 6 × 6 = 36

Q: Suppose that Var(X) = 3, Var(Y ) = 4, and Cov(X,Y ) = 1. (a) Find Cov(2X −Y,X + 3Y ). (b) Find…

A: Solution-: Given: Var(X)=3, Var(Y)=4, Cov(X,Y)=1 We want to find, (a) Cov(2X-Y, X+3Y)=? (b)…

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: In how many ways can first, second, and third prizes be awarded in a contest with 155 contestants?

A: The given problem can be solved using the permutation. In permutation, order of objects matters. The…

Q: If two fair dice are rolled, find the probability that the sum of the dice is 9, given that the sum…

A: Solution-: We want to find the probability that the sum of the dice is 9, given that the sum is…

Q: 3. Suppose that a population has three genotypes with P(aa) = 0.16, P(aA) = 0.48 and P(AA) = 0.36.…

A: