Use the formula C(n,x)p^xq^n-x to determine the probability of the given event. the probability of no failures in seven trials of a bionomial experiment in which p=1/3.

Q: What is the probability the competitor takes more than 12 minutes to finish the course? Give your…

A: here given, time taken for complete the uniform obstacle course in the statistics games is uniformly…

Q: z-score will be between 0.7 and 1.4

A: Z-Score: It is a numerical measurement that describes a value's relationship to the mean of a group…

Q: Compute the probability of X successes using the binomial formula. Round your answers to three…

A: Given, n=7 p=0.56 X=5

Q: (a) Find the probability that the number who have encountered fraudulent charges on their credit…

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Q: Compute the probability of X successes, using the binomial formula if n = 6, X = 3 and p = 0.03

A: Introduction: A sequence of n Bernoulli trials with only two possible outcomes: success and failure,…

Q: f the odds against winning on a scratch-off lottery ticket are 646:5, what is the probability of…

A: Given Odd against winning is 646:5  Let A be the event of getting winning scratch-off lottery ticket…

Q: The probability is 0.314that the gestation period of a woman will exceed 9 months. In 4000 human…

A: Given, Probability p= 0.314 N= 4000 People exceed 9 months=?

Q: Consider a binomial experiment with n = 4 trials where the probability of success on a single trial…

A: Solution :

Q: The probability of a fair coin landing heads-up in one toss is 1/2. If a coin is tossed 20 times,…

A: Given that, the probability of a fair coin landing heads-up in one toss is 1/2. We need to find the…

Q: Find the probability of choosing two numbers from 0 to 1 such that sum of their square is less than…

A: Formula: Probabolity=(no of  possible out come/Total no of out come)

Q: Find the probability a randomly selected z-score is between -1 and 1.2.

A: Probability that the randomly selected Z-score is between -1 and 1.2 P(-1<z<1.2)   We know…

Q: Using the binomial formula and assuming the probability of a baby boy for any birth is .5, verify…

A:

Q: Find the probability of 3 successes in 7 trials of a binomial experiment in which the probability of…

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Q: Consider a binomial experiment with  n = 9 trials  where the probability of success on a single…

A:

Q: The probability is 0.0651 that the 4th applicant for a factory job will be hired on the 10th…

A: Given that, the probability is 0.0651 that the 4th applicant for a factory job will be hired on the…

Q: A fair die is rolled 6 times. What is the probability of having no 3 and no 4 among the rolls? Round…

A: It is given that a fair die is rolled 6 times, then we will get sample space as S=…

Q: With usual notations, find p for a Binomial variate X, if n=6 and 9P(X=4)=P(X=2)

A: In question, X follows binomial distribution with n = 6 and probability p. And 9P(X=4)=P(X=2) Then,…

Q: A local jam production company is confident that 60% of the population will like its new grapefruit…

A: Given data,p=60% =0.60n=10P(X=3)=?

Q: (a) Find the probability that among the next 5 theft cases reported in this district, exactly 2…

A: It is given that  The random variable X i.e, to buy drugs follows Binomial distribution with…

Q: For a binomial probabiüity function with P=0.5 and n=14, find the probabilty that the nurmber of…

A: Given that : Sample size (n) = 14 Probability of success  P(x) = 0.5 P(x= 7) = ??  By using binomial…

Q: d. For the 35 people, find the probability that the average age that they learned to walk is between…

A: here given ,  Suppose the age that children learn to walk is normally distributed with mean 11…

Q: Find the probability of z occurring in the indicated region: -0.59

A: Find the probability of z occurring in the indicated region,

Q: A restaurant owner speculates from his past experience that 20% of the cust reservations. The…

A: Consider a random variable X which represents the number of customers who cancel their reservation.…

Q: The probability is 0.0623 that the 7th applicant for a factory job will be hired on the 13th…

A: Followings are the Explanation of the question Use the Binomial Distribution

Q: Find the Z score for the probability 0.2061. Ans: 0.2061

A:

Q: Compute the probability of X successes, using the binomial formula. n = 6, X = 3, p = 0.03 I got:…

A: Binomial distribution allows us to compute the probability of observing specified number of events…

Q: The probability is 0.275 that the gestation period of a woman will exceed 9 months. In 2000 human…

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Q: Find the probability that a telephone call selected at random will last a. between 1 minute and 2…

A:

Q: Use the normal approximation to the binomial to find the probability for  =n=12, p0.5,  and  ≥X9 .…

A: It is given that n=12 and p=0.5.

Q: Compute the probability of X successes given x = 12 and p = 0.45 using the binomial formula.  d.…

A:

Q: The experimental probability that Morgan will randomly select a penny from a bag of coins is 19100.…

A: Given that

Q: Compton Computers finds that the time to failure of its power supply unit is 4000hours. One unit…

A: Mean time between failures =MTBF = 1λ= 4000 hours where λ represents the failure rate Time to…

Q: What is the probability that a randomly selected z-value will be greater than 2.23?

A: According to the provided information, we need to calculate P(Z>2.23)

Q: An umbrella seller can earn 750 TL every day if the weather is rainy, and lose 100 TL if it is open.…

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Q: Find the probability that an investor makes a profit on 6 of her next 12 investments, assuming…

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Q: Compute the probability of X successes, using the binomial formula. Round your answers to three…

A: Given information- We have given a problem of binomial distribution. Probability of success, p =…

Q: Suppose PX) = 0.75 and AY2/X) = 0.40. What is the joint probability of X, and Y? (Round your answer…

A: Given that P(X1)= 0.75 and P(Y2|X1)=0.40We have to find P(X1 and Y2)

Q: Find the probability of getting a number less than 5 in a single throw of a die.

A: Solution: 1. Suppose a die is thrown. Then, the sample space is

Q: mpling a student on campus and finding that they are wearing a red shirt is .3.  what is the…

A: For this case, there are two possible outcomes for each trial, classified as a success (red shirt),…

Q: otherwise Find the expected value of g(X) = exp (3x/4)

A:

Q: Suppose a charitable organization decides to raise money by raffling a trip worth $500. If 3,000…

A: Number of tickets sold = 3000

Q: An exponential probability distrubution has a lambda equal to 24 customers per hour. What is the…

A: From the provided information, λ = 24 customer per hour The mean arrival time can be obtained as:

Q: Suppose that a number is randomly chosen from the interval (-3, 3). What is the probability that the…

A: Solution

Q: Q3.a. Find out the variance of first n natural numbers.

A: Since multiple questions are given first part is answered step by step explanation. Kindly repost to…

Q: Suppose that the probability that your mail is delivered before 2 pm is .90. What is the probability…

A: We have given that the probability that mail is delivered before 2 pm is 0.90.

Q: Find the probability that the sum is as stated when a pair of dice is rolled. (Enter your answers as…

A: Givenpair of dice is rolledto find the probability sum is oddor less than 5

Q: 3. Use the Simpson's rule to estimate 7e 2xdx with n = 6

A: Since you have asked multiple questions we will solve the first question for you. If you want to be…

Q: Use the normal approximation to the binomial to find the probability for =n=, 11p, 0.5and ≥X8. Round…

A: Given that, Probability, p= 0.5 And sample size,n = 11 So X~ binomial (11,0.5) We know that mean of…