A binomial experiment consists of 500 trials. The probability of success for each trial is 0.5. What is the probability of obtaining 245-260 successes? Approximate the probability using a normal distribution. (This binomial experiment easily passes the rule-of-thumb test for approximating a binomial distribution using a normal distribution, as you can check. When computing the probability, adjust the given interval by extending the range by 0.5 on each side.) Click the icon to view the area under the standard normal curve table. The probability of obtaining 245-260 successes is approximately (Round to two decimal places as needed.)

Q: a. A: the number is a factor of 35 b. B: the number is a multiple of 2 c. C: the number is a prime…

A: As per policy I have calculated 3 subparts kindly REPOST for remaining parts with note I need…

Q: 46 15 a. b. er the data set be C. d. 44 57 49 31 53 48 57 14 You must show your work to earn full…

A: Data 46 44 49 53 57 20 104 42 15 57 31 48 14 71 24 56

Q: A washing machine in a laundromat breaks down an average of Four times per month. Using the Poisson…

A: Let X be the number of break downs per month X has poisson distribution with mean = 4 X ~ poisson(λ)…

Q: Use the normal distribution of SAT critical reading scores for which the mean is 500 and the…

A: Answer: From the given data, Mean (μ) = 500 Standard deviation (σ) = 102 X follows normal…

Q: K Consider the random variables X and Y with the joint density function shown to the right. (a) Find…

A:

Q: Problem 3. An interesting property of Student's & distribution is that the moment generating…

A: a) The expectation of T can be calculated as:   E(T) = ∫{-∞}{∞} t* fT(t) dt   By substituting the…

Q: A coin is loaded so that the probability of a head occurring on a single toss is The probability of…

A:

Q: The graph shows government receipts and outlays (both on-budget and off-budget) for 1991-2001. In…

A: Given graph

Q: Each of the ten digits​ (0 through​ 9) is written on a separate piece of paper and placed in a…

A: Number of digits (0 to 9)=10

Q: Please use the data to find the hypothesis test

A: Apr-22 Apr-23 53.81 62.08 45.71 47.58 44.14 50.71 47.2 60.77 48.81 53.41 49.3 61 49.79…

Q: A binomial random variable has n = 11 and p = 0.4 What is the probability of exactly 3 successes?…

A: sample size(n)=11 p=0.4 Let "x" be the no. of successes x~Binomial(n=11,p=0.4) P(X=x)=nx×px×(1-p)n-x…

Q: Write out the sample space and assume each outcome is equally likely. Then give the probability of…

A: The sample space consists of all possible combinations of size and color: S={7-foot black, 7-foot…

Q: population of values has normal distribution with mu = 145 and sigma =68. Find the probability that…

A: Answer: From the given data, Mean (μ) = 145 standard deviation (σ) = 68 X follows normal…

Q: 25 Reese Prosser never puts money in a 10-cent parking meter in Hanover. He assumes that there is a…

A:

Q: a. What is the prior probability of the bid being successful (that is, prior to the request for…

A: A consulting firm submitted a bid for a large research project. The firm's management initially felt…

Q: A group of students at a high school took a standardized test. The number of students who passed or…

A: The data shows the gender and number of students who passed or failed the exam is broken down.

Q: c. Based on the results, does it appear that men and women may have equal success in challenging…

A: The p1 is proportion of the men's calls were overturned The p2 is proportion of the women's calls…

Q: 2. There are 9 white balls and only 1 red balls in a box, now each of 10 people takes out 1 ball…

A: As per policy I have calculated first main question plz REPOST for remaining question    There are 9…

Q: transcript Suppose that the time, in hours, required to repair a heat pump is a random variabile X…

A: X ( time required to repair the heat pump )  Follows a Gamma distribution ,  Given :  α = 2 β = 1/3…

Q: A car dealership has 7 red, 9 silver, and 5 black cars on the lot. Ten cars are randomly chosen to…

A: given data,7-red9- silver5- black 21- total ten cars are randomly selected we have to find out the…

Q: Advise the company on the most beneficial course of action using a decision tree

A: `

Q: What is the probability that a person has to wait more than 29 minutes ?

A: The amount of time that people spend going through airport security at a busy airport is normally…

Q: On the basis of data obtained from the National Institute of Dental Research, it has been determined…

A: On the basis of data obtained from the National Institute of Dental Research, it has been determined…

Q: Since P(female)x P(fail) = so the events are Submit Answer and P(female and fail) the two results…

A:

Q: Use counting arguments from the preceding chapter. The seven contenders in a horse race at Aqueduct…

A: The seven contenders in a horse race at Aqueduct on a certain day, were Par None, Expect the…

Q: an advanced performer or a beginner?

A: If somebody is receiving feedback about 75% of the time they attempt a skill, they are most likely a…

Q: Twenty-two slips of paper are each marked with a different letter of the alphabet and placed in a…

A: Total no.of slips=22

Q: A bag contains 1 gold marbles, 9 silver marbles, and 27 black marbles. Someone offers to play this…

A: 1 gold, 9 silver, 27 black

Q: 40 60 PROBABILITY OF TICKET 80 100 O EV when OC is $20 EV when OC is $30 + y regarding the exact…

A: If Caroline ends up with a ticket then she gets a pay-off of - $80. (She has to pay a fine of $100…

Q: A3 Let X₁,..., Xn be independent and identically distributed random variables with E(X₂) μ and…

A: Let X1, X2, . . . . . , Xn be independently and identically distributed random variables with EXi=μ…

Q: What is the probability that the card drawn is a club?   (b) What is the probability that the card…

A: Here is a table showing all 52 cards in a standard deck.  In standard deck there are 4 suits and…

Q: The probability density function for the life span of an electronics part is ft)-0.06e-0.06, where…

A: X~exp(θ)  memory less property  P(X>t|x>m)=P(X>t-m)

Q: According to the Pew Research Center, 14% of adults rate basketball as their favorite sport. Your…

A: sample size(n)=120 x=12 significance level(α)=0.05 claim is that the proportion may be lower than…

Q: 7.6. Let A1, A2, ..., An be arbitrary events, and define Ck = {at least k of the Ai occur}. Show…

A: let first i define the expectation , E(x)=∑xP(X=x) Where X be the random variable represent the…

Q: Which of the following two events is more likely? (a) With four throws of one die, throw at least…

A: Which of the following two events is more likely:-(a) With four throws of one die, throw at least…

Q: A magazine identified the following five "maintenance" activities often performed by people as…

A:

Q: 13. What is the probability that a randomly chosen point will fall within the shaded area? The…

A: We know that for a circle the area of sector is given as: Area of sector=θ360×π×r2Here we have θ=60,…

Q: You spend $10 on lottery scratch-off tickets (10 tickets total).  The lottery agency says your…

A: n=10 p=14=0.25 Let X be the random variable representing the number of winning tickets out of the…

Q: - Suppose you randomly select a sample of 16 observations from a population with μ a= 2 You find=9.…

A: σ=2x=9n=16μ=11

Q: A group of students at a high school took a standardized test. The number of students who passed or…

A:

Q: You spin the spinner and flip a coin. Find the probability of the compound event.       The…

A: The experiment is spin the spinner and flip a coin The event A is spinning a 6 The event B is…

Q: many different selections of these models and colors are possible?

A: Mrs. Wilson has decided to buy a Chevrolet Caprice or a Buick Roadmaster. She has narrowed down the…

Q: School Raffle: The local school is selling raffle tickets. 100 raffle tickets will be sold for $5…

A: possible outcomes Net Gain (X) P(x) E(x)=xP(x) Two fifty dollar gift card $50-$5=$45 2/100…

Q: 3. Consider the chance experiment in which the type of transmission- automatic (A) or manual (M)- is…

A: [a]  All the possible sets could be:- (AA,MM,AM,MA) it is similar to two side of coins like heads…

Q: Given below is a bivariate distribution for the random variables and y. f(x, y) x Y 0.2 0000 0.4 50…

A: A bivariate distribution for a random variable x and y:- f(x,y) x y 0.2 50 80 0.4 20 40 0.4…

Q: A magazine identified the following five "maintenance" activities often performed by people as…

A: The given data is as follows, 1 4 0 3 0 1 0 0 2 0 1 4 1 3 0 2 0 0 5 0 1 0 1 3 0 2…

Q: You pick a card at random. 6 7 8 9 What is P(less than 8)? Write your answer as a fraction…

A: The probability less than 8 is obtained below as follows:   From given information, it is clear that…

Q: When Natalie commutes to work, the amount of time it takes her to arrive is normally distributed…

A: Answer:- Given, Mean, µ = 25  Standard deviation, σ = 4  Let X be a random variable represents the…

Q: The following refer to the following data set: 102 76.1 85.6 92.5 86.8 84.4 63.6 102 102 78.9 What…

A: The data is 102, 76.1, 85.6, 92.5, 86.8, 84.4, 63.6, 102, 102, and 78.9.

Q: Listed below are the numbers of cricket chirps in 1 minute and the corresponding temperatures in °F.…

A: Chirps in 1 min Temperature  893 69.9 1177 93.2 1119 85.6 871 76.3 1220 87.7 1038 82.2…