olve the foolowing problems involving permutations and combinations. SHOW YOUR SOLUTION. 1.) In how many ways can a president, vice president, secretary and treasurer be selected from the 15 JHS students? 2.) In how many ways can Mother Luz arrange 8 potted plants in a row?

Q: Customers arrive at Wholefoods independently at an average rate of 5 per minute. In any given what…

A:

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 7.1 inches,…

A: Mean(µ) = 7.1Standard deviations (σ) = 2.2X ~ N (µ, σ )= N (7.1, 2.2)

Q: 14. A repairman is scheduled to stop by a customer's house between 3pm and 5pm. The customer got…

A: Here Given A repairman is scheduled to stop by customers house between 3 PM and 5PM. And There is…

Q: What is the probability that the card is a 4 given that it is a Number Card? What is the probability…

A: In a deck of 52 Cards,            There are 36 Number Cards & from which four are '4' Number…

Q: 30. There are 23 students who will join either Mathematics club, or Science club or both. If 14…

A: Addition rule: The addition rule states that for two events A and B,

Q: Compute for the best point estimate. HEIGHT (in inches) OF 12 GRADE 7 STUDENTS Jinyoung 70 Jun 72…

A: The data includes the height of 12 students in grade 7. The objective is to compute the best point…

Q: 7. A large corporation wants to find out which benefits plan its employees would procedure would be…

A: Given: A large corporation wants to find out which benefits plan its employees would prefer.

Q: 3. True or false? а. The values of a continuous variable are arrived at by o b. A continuous…

A: A continuous variable is a variable whose value is obtained by measuring.

Q: A tire manufacturing company encourages its employees to promote a zero-accident environment by…

A: Given data: Shift Dangerous Conditions Employee Error Total Morning 5% 32% 37% Mid 6% 25% 31%…

Q: A student needs 9 more classes to graduate. If she has met the prerequisites for all the classes,…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: For a random variable X E(X) = 1.27, E(X²) = 3.79 The variance of X is equal to Select one: O 2.52…

A: We have given that,  E(X) = 1.27 and E(X2) = 3.79 Then  We will find the variance of X  ?

Q: One bag contains 6 white balls, 3 red and 4black balls, and a second bag contains 4white balls and 6…

A: Given that  One bag contains 6 white balls, 3 red and 4black balls, and a second bag contains 4white…

Q: 1. A firm is placing three orders for the supplies among five different distributors. Each order is…

A:

Q: In a new card game, you start by paying $87.3. From a well-shuffled full deck of cards draw 3 cards…

A: Note: Hi there! Thank you for posting the question. As there are several independent questions,…

Q: Your task is to identify the proposed analysis and why you chose that analysis for each of these…

A: Chi-square test of Goodness-of-fit allows us to conclude that possible outcomes are equally likely…

Q: Conditional Probability Determine the following probabilites. Write your answer as a simplified…

A: A single die is rolled than the possible outcomes ares=1,2,3,4,5,6

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

A:

Q: A packing machine is set to fill a cardboarc box with a mean average of 16.1 ounces o cereal.…

A: Given that  Mean=μ=16.1 , Standard deviation=σ=0.04 X~Normal(μ=16.1 , σ=0.04)

Q: Suppose a 5 card hand is drawn from a standard deck of cards. What is the probability that there are…

A: There are 52 card in the deck in which they divided into two color i.e red(26) and black (26). These…

Q: A person has a cough and flu-like symptoms and gets a PCR test for COVID-19, which comes back…

A: Sensitivity of a screening test can be define as the percentage of cases in which the test result is…

Q: b. What is the probability that a customer will spend more than 15 minutes in the bank given that he…

A: Let X amount of time one spends in a bank is exponential distribution  X~exp(1/10)

Q: Jessica knows that the average profit of manufacturing plants nationwide each year is $100,000 with…

A: Given that  Mean=μ=10000 , standard deviation=σ=16000 Sample size=n=35

Q: random and is taller than 6 feet, what is the probability that the student is a woman? O3/11 O7/11 O…

A: *Answer:

Q: Let x and y have joint density function * + 2y), for 0 3 Enter the exact answer. (1>}) - 3 1 (b)…

A:

Q: Between the hours of 2 and 4 p.m. the average number of phone calls per minute coming into the…

A: GivenThe average number of phone calls per minute is 2.5λ=2.5 Let "x" be no. of phone calls…

Q: Probability: Intersection of Independent Events Determine the following probabilities. Enter your…

A: if two coins are tossed than the possible outcomes areHH, HT, TH, TT

Q: QUESTION 25 How many ways are there to arrange the letters in COMPETITION, in which the first T…

A: Given information: Number of T letters in COMPETITION = 2 Number of I letters in COMPETITION = 2…

Q: If the jobs arrive every 15 seconds on average, A- 4 per minute, what is the probability of waiting…

A: Given,A random variable X~Exponential(λ=115seconds)f(x)=115e-x15       ;   x≥0

Q: The null and alternative hypothesis would be: Но:р — 0.55 Но: р — 2.2 Но:р — 0.55 Но: и — Ho:P 0.55…

A: We have given that  The claim: The mean GPA of night students is larger than 2.2.

Q: 4. A university is offering two courses, one in Statistics and the other in Mathematics. These…

A: Number of students=300  Number of students in Statistics=85 Number of students im Mathematics=65…

Q: Consider an agent whose behavior is best described by prospect theory with loss aversion. Calculate…

A: The value of the prospect given for the agent is 24.8   Expectation of a variable = sum of…

Q: A survey found that the American family generates an average of 17.2 pounds of glass garbage each…

A: Let M be the mean of sample of n = 55 families. Then according to CLT, M follows N(mean = 17.2, SD =…

Q: Use the confidence interval to find the margin of error and the sample mean. (1.70,2.08) ... The…

A:

Q: A single card is drawn at random from a deck of 52 cards. Determine the following probabilities.…

A: There are 52 card in the deck in which they divided into two color i.e red(26) and black (26). These…

Q: 7. A large corporation wants to find out which benefits plan its employees would prefer. W procedure…

A: Given: A large corporation wants to find out which benefits plan its employees would prefer.

Q: 13. P(M|L) 14. P(F|S) 15. P(S|F)

A: Given that    Long hair = L Short hair = S Male = M 3 7 Female = F 36 4

Q: Let X be a random variable with an outcome space {1, 2, 3, 4, 8, 6} and a probability mass function…

A: The probability mass function of X is given by X 1 2 3 4 8 6 P(X) 1/25 2/25 3/25 4/25 8/25 6/25…

Q: You wish to test the following claim (H.) at a significance level of a = 0.02. H.:µ = 53.1 Ha:µ +…

A: Given information Hypothesized mean µ = 53.1 Sample size (n) = 52 Mean M = 47.2 Standard deviation…

Q: 300 students were surveyed. 100 students from 3 different grades were identified and asked if they…

A:

Q: A company launches 15 products, and each of them hasa 40% chance of being profitabile in S years. If…

A: Given that  n=15 , p=40%=0.40 , q=1-p=1-0.40=0.60 X~Binomial(n=15,p=0.40) X= Number of successful…

Q: the odds against the event happening?

A: here p = probability of event  = 88/89

Q: a. Construct operating characteristic curves for acceptance numbers of 2, 3, and 4 (to 4 decimals).…

A: The acceptance sampling procedure uses 20 randomly selected crystals that is n=20…

Q: MO21. Many cardiac patients wear an implanted pacemaker to control their heartbeat. A plastic…

A: Given that, Population standard deviation is 0.0207 Sample size is 77 Sample mean is 0.36 The given…

Q: The probability that I miss the bus to work on any day is 0.1.Whether I catch the bus on any day is…

A: Let p be the probability of missing the bus. Given that p = 0.1. Let q be the probability of…

Q: A user’s password to access a computer system consists of three digits and two letters.…

A: A permutation of a set is an arrangement of its members into a sequence or if the set is already…

Q: If 7 cards are dealt from an ordinary deck of 52 playing cards, what is the probability that (a)…

A: There are 52 card in the deck in which they divided into two color i.e red(26) and black (26). These…

Q: A committee of five students is to be selected from a group of ten students. Three of the students…

A:

Q: - T-test (Independent Sample)

A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…

Q: A bag contains 4 black counters and n white counters. Two counters are taken from the bag at random…

A: Given that  Total counters=4+n Black counters=4 White counters =n 2 counters are taken from the bag…

Q: 3. What is C(7,1)? А. 1 В. 7 С. 14 D. 49 А. 11 4. What is the combination of 8 objects taken 3 at a…

A: