A population has a mean of 50 and a standard deviation of 12. If a random sample of 36 is taken, what is the probability that the sample mean is each of the following? a. Greater than 50 b. Less than 54 c. Less than 49

Q: Using The t Distribution Table, find the P-value interval for a right-tailed test with n=17 and…

A: Solution:   he p-value is a statistical measure used in hypothesis testing to determine the…

Q: There are 12 applicants for 4 scholarships for 4 different amounts: $100,000 and $80,000 and $60,000…

A: Total applicants = 12  For 4 scholarships for 4 different amounts  How many different groups of…

Q: Just before a city referendum on a school budget, a local newspaper polls 450 voters in an attempt…

A: given data P(support budget) = p = 0.52sample size (n) = 450P(p^ <0.50) = ?

Q: In a hand of 13 cards chosen at random from an ordinary deck of 52 cards, let X be the number of…

A: From the provided information, Total cards in standard deck = 52 13 of them are spades. X be the…

Q: Suppose an urn has six balls, three red, two blue, and one yellow. On any draw from the urn, all…

A: 3 red2 blue1 yellow__________6 total balls draw 2 balls without replacement. P(first ball is not…

Q: Mrs. Burke's biology class has 83 students, classified by academic year and major, as illustrated in…

A: Required probability is P(non-biology major|Juniors)

Q: 2. Find the critical value (or values) for each set of conditions. a. a = 0.1, left-tailed test,…

A: we have to find critical value. (a) α = 0.1 , left tailed test, z table.(b) n = 16 , α = 0.01 , two…

Q: Five percent of the customers who visit a website complete a product purchase. If one considers just…

A: The problem involves calculating posterior probabilities based on the given information. Let's use…

Q: If the probablitiy of being hit by lightning is 1/100,000, what is the probablitiy of not getting…

A: Given that  The probablitiy of being hit by lightning is P(A)=1/100,000 the probablitiy of being hit…

Q: Exercise 3 In a political campaign, one candidate has a poll taken at random from the voting…

A: Let p be the fraction of the voting population that favors the candidate.

Q: of education and whether or not they regularly take vitamins:   Use of Vitamins Education Takes…

A: Here the given table is   we have to find the  the probability the person does not have a high…

Q: Let X be a continuous random variable with the cumulative distribution function [0, ja x≤0 ja 05…

A: Given,F(X)={0; x≤0x225; 0<x≤51; x>5

Q: You toss a fair coin 3 times. Let Eq=Event that the outcome is an even number of heads and an even…

A: Given information: Fair coin is tossed three times. E0 = Event that the outcome is an even number of…

Q: Five percent of the customers who visit a website complete a product purchase.  If one considers…

A: Given Information: 5% of the customers who visit a website complete a product purchase. If one…

Q: 56% of all Americans are home owners. If 45 Americans are randomly selected, find the probability…

A: q-1)n = 45p = 0.56P(x=X) = nCxpxqn-x________binomial distribution

Q: You have a bag of fourteen candies; 2 each of purple, green and yellow, and 4 each of pink and red.…

A:

Q: What is the probability that a randomly selected adult uses social media?   (b) What is the…

A: Let is define some events  A : an adult uses social media. B : an adult is aged 18 - 29 Given that…

Q: Let X be a random variable having a uniform distribution on the interval [0; 8]. Find the…

A: x is uniformly distributed between interval 0 to 8. P(atleast 8 times out of 10 experiment value of…

Q: Pick a card.  If you get an ace, you win $100. If you get a two or three or four, you win $80.…

A: We have given information, Let X=the amount that you win or lose on a card. if you get an ace, you…

Q: Suppose X is a discrete random variable whose probability distribution function f(x) is given by the…

A: x -2 -1 0 1 f(x) 0.1 0.2 0.3 0.4

Q: A Discrete Probability Distribution is given below: Probability (%) 12 38 30 20 Class A B C D…

A: Answer  Given  Class         Probability [%] A                   12 B                    38 C…

Q: The following two-way contingency table gives the breakdown of the population of married or…

A: Answer:- Given, two-way contingency table is,    Number of children "0" Number of children "1-2"…

Q: Let S be the sum of numbers obtained by rolling two biased dice with possibly different biases…

A: Given: Let S be the sum of numbers obtained by rolling two biased dice with possibly different…

Q: 23. Expected Value for the Texas Pick 3 Game In the Texas Pick 3 lottery, you can bet $1 by…

A: Hi thank you for posting this question  , since you have posted multiple  subparts as per our policy…

Q: Explain what is meant by "margin of error" in point estimation. The margin of error in estimation…

A: Solution-: We want to find what is meant by "margin of error " in point estimation.

Q: third step. How many experimental outcomes exist for the entire experiment?  How many ways can…

A: Answer:- Given, An experiment has three steps. Total possible outcomes for first step= 4 Total…

Q: How many 7-digit telephone numbers are possible if the first digit cannot be four and (a) only odd…

A: Total digits :  0,1,2,3,4,5,6,7,8,9  7-digit telephone numbers= ?  First digit can not be 4

Q: Independent random samples were selected from two binomial populations, with sample sizes and the…

A: In this problem, we are given independent random samples from two binomial populations, along with…

Q: . If z = 0.13, what is it on an X scale?

A: here given , Suppose X~N(123,20) and Z~N(0,1) here z = 0.13. z follow standard normal distribution…

Q: Jason is buying a new Bluetooth speaker for $220. The odds in favour of the speaker needing repairs…

A: In this conversation, we will discuss a scenario where Jason is purchasing a new Bluetooth speaker…

Q: Can you please explain the difference between the standard deviation and standard error of x and p,…

A:

Q: An article reports "attendance dropped 6% this year, to 300." What was the attendance before the…

A: Before attendance = x = ?  Drop = 6%  After drop = 300    5000 homes supply = 1 turbine 25000 homes…

Q: Television and radio stations used for call letters starting with W or K, such as WXYZ or KRLD.…

A: Given: Call letters starting with W or K No repetition in the second and fourth letters Total…

Q: Among the seniors at a small high school of 150 total students, 80 take Math, 41 take Spanish, and…

A: Total = 150  Math = 80  Spanish = 41 Physics = 54  10 = (Math and Spanish) 19 = Math and physics 12…

Q: How many people in the survey said they like dogs?

A: here n  = sample size = 500 p = proportion of people like dog  = 0.65

Q: Consider a random variable X with the below probability mass function f(x) and compute the following…

A: Given  x 1.25 1.5 1.75 2 2.25f(x) 0.2 0.4 0.1 0.2 0.1 compute the following probabilities: (a) P(X ≥…

Q: Let X have pdf fx(x) = { kr(1-2), 0≤x≤1; 0, otherwise. (a) Determine the distribution function Fx…

A: we know the pdf of a random variable X isfX(x) =kx(1-x)0≤x≤10otherwise

Q: 3. Consider a random variable X whose probability mass function is given by if x = -2 if x = 0 p(x):…

A:

Q: A random variable w has the probability distribution below. Determine the variance of w. w…

A: GIVEN DATA, W  and p(w) are given we have to find out the missing value of p(X) and variance for the…

Q: Consider the following exponential probability density function. a. Which of the following is the…

A:

Q: Using the digits 2 through 8, find the number of different 5-digit numbers such that: (a) Digits…

A: Hi thankyou for posting this question,  since you have posted multiple subparts  as per our policy…

Q: Among the seniors at a small high school of 150 total students, 80 take Math, 41 take Spanish, and…

A: We make venn diagram to find answer

Q: A random variable X has the cumulative distribution function. Calculate the Expected Value of X…

A: Answer: - Given, the CDF of X is                 F(x)   x2-2x+221≤x<21x≥2                    Find…

Q: Avery sets up a passcode on her smart phone, which allows only five-digit codes. A spy sneaks a look…

A: Avery sets up a passcode on her smart phone, which allows only five-digit codes. A spy sneaks a look…

Q: Problem 2: In a school's educational trip, 80 students brought sandwiches, drinks and candies. 5…

A: Answer:- Given information, Total number of students= 80 50 students brought sandwiches 30 students…

Q: Of the 45 students enrolled in a statistics class last semester, 21 received a high grade and 24…

A: In this problem, we are given information about a statistics class where 45 students were enrolled…

Q: Let P(A) = P(B) = 3 and P(A^ B) = . Find the following: (a) P(A¹). (b) P(A'n B'). (c) P(BA'). (d)…

A: Answer:- Given, P(A) = P(B) = 25   , and P(A∩B) = 25                Find            (a). P(A')…

Q: A local fast-food restaurant has a soda dispensing machine that employees use to automatically fill…

A: Note: Hi! Thank you for the question, As per the honor code, we are allowed to answer three…

Q: You roll two fair dice, one green and one red. (a) Are the outcomes on the dice independent? O Yes O…

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

Q: Suppose that we have two events, A and B, with  P(A) = 0.50,   P(B) = 0.60,  and  P(A ∩ B) = 0.40.…

A: Given,we have two events A and B. P(A)=0.50, P(B)=0.60 and P(A∩B)=0.40