8- When a die is rolled 5 times What is a) the probability of getting exactly four "sixes" b) the probability of getting at most 2 "sixes".

Q: Assume that when adults with smartphones are randomly​ selected,45​%use them in meetings or classes.…

A: Obtain the probability that exactly 3 of them use their smart phones in meetings or classes. The…

Q: 2 When a person takes pennies to a coin counting machine, the average number of pennies inserted is…

A:

Q: Assume that when adults with smartphones are randomly selected, 45% use them in meetings or classes.…

A: Given that n =15 , P =0.45 Using binomial distribution Find P ( x <3 ) =?

Q: Assume that when adults with smartphones are randomly​ selected, 37​% use them in meetings or…

A: We have given that,  Probability (p) = 37% = 0.37 . n = 9 . And x=2 .

Q: An urn contains N white and M red balls. Balls are randomly selected, one at a time, until two red…

A:

Q: Assume that a bag contains 5 black, 4 blue balls. 2 balls are drawn randomly one after another to…

A: Given Information: A bag contains 5 Black and 4 Blue balls. Two balls are randomly selected one…

Q: Assume that when adults with smartphones are randomly​ selected, 49​% use them in meetings or…

A:

Q: When 2 fair dice is rolled, let X be the sum of number faced-up on two dice. Compute the probability…

A: We have given that, The 2 fair dice is rolled, let X be the sum of number faces-up on two dice.…

Q: Suppose that a box contains three equally sized balls numbered as 1,2 and 3. If two balls are drawn…

A: Given,  3 equally sized balls numbered as 1, 2 and 3.

Q: Compute the probability that the number 3 appears 5 times when a fair die is rolled 7 times.

A: We have to find probability for binomial variable.

Q: 5 people are chosen randomly from 4 women and 5 men to participate in an event.  What is the…

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Q: Assume that 4 digits are selected at random from the set {1,2,3,5,8} and are arranged in random…

A: To compute the probability of the required event from the basic counting principles

Q: 11. If a basketball player takes 8 independent free throws with a probability of 0.7 of getting a…

A: Given Information: Number of throws, n =8 The probability of getting the basket on each shot, p =0.7…

Q: In a box, there are 6 red balls and 7 blue balls. Two blue balls are drawn in the first and second…

A: Answer- In a box, there are 6 red balls and 7 blue balls. Total = 7 + 6  = 13 balls.…

Q: 8. A spinner is divided into 5 equal parts. If it is spun twice, find the probability of both spins…

A: if a spinner is spun twice than the possible outcomes are 25The possible outcomes that both spins…

Q: What is the probability of obtaining exactly three tails in four flips of a coin, given that at…

A:

Q: Assume that when adults with smart phones are randomly selected 56% of them use them in meetings or…

A: Here we need to find the required probability using the binomial distribution.

Q: Assume that when adults with smartphones are randomly​ selected, 47​% use them in meetings or…

A: The binomial distribution function is: PX=x=Cxnpx1-pn-xwhere,n=number of trials,x=number of success,…

Q: Assume that when adults with smartphones are randomly​ selected, 61​% use them in meetings or…

A: A binomial experiment is a discrete probability experiment. To use the binomial model,…

Q: Assume that when adults with smartphones are randomly​ selected, 57​%use them in meetings or…

A:

Q: Suppose a die has been loaded so that the [ ]face lands uppermost 3 times as often as any other face…

A: Given problem is : Suppose a die has been loaded so that the [ ]face lands uppermost 3 times as…

Q: A die is rolled 10 times. What is the probability of getting “a 6 “exactly 5 times?

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Q: What is the maximum number of people in a gathering such that the probability of two people having…

A: Given, The probability of two people having the same birthday doesn’t exceed 60%.

Q: Assume that when adults with smartphones are randomly​ selected, 57​% use them in meetings or…

A:

Q: Assume that when adults with smart phones are randomly selected 53% use them in meetings or classes.…

A: Let X is a random variable that represents adults those use smartphone. In this case, binomial…

Q: ) If 4 distinct balls are placed at random into 4 boxes, find the probability that exactly one box…

A:

Q: Assume that 6 women and 8 men work in a department at a Targe company, a committee of 5 people from…

A: We have to find the probability based on combination

Q: 23. BONUS: Magdalena rolls an 8 die and then Joe gets three chances to roll a 6-die and get greater…

A: The cartesian product of the individual sample spaces for an 8 side die and 6 side die will have {1,…

Q: On average, 12 balls enters the room every minute. What is the probability that the 4th ball seconds…

A: Poisson distribution: A random variable X is said to have a Poisson distribution with a parameter λ…

Q: What is the probability that it takes 11 rolls to get your first “5” when rolling a fair 6-sided die

A: Given information: It takes 11 rolls to get your first “5” when rolling a fair 6-sided die.…

Q: at in five tosses of a fair die, a 3 will appear at least

A: a) Given: n = 5 The sample space of a die is 1,2, 3, 4, 5, 6 i.e. there are 6 total outcomes.    p =…

Q: 35% of all college students major in STEM (Science, Technology, Engineering, and Math). If 32…

A: 35% of all college students major in STEM (Science, Technology, Engineering, and Math) Probability,…

Q: Consider the case where three 4-sided dice are rolled sequentially (one after the other). A.…

A:

Q: what is the theoretical probability of rolling a sum of 5 when 2 standard 6-side die are rolled?

A: In this case, the sample space when two dices are rolled is shown below:

Q: Assume that when adults with smartphones are randomly​ selected 36% use them in meetings or classes.…

A: Probability that adults use smart phones in meeting or classes (p) = 36% = 0.36 Number of adults…

Q: Assume that when adults with smartphones are randomly​ selected, 56% use them in a meeting or…

A: Answer - Assume that when adults with smartphones are randomly​ selected, 56%   use them…

Q: Assume that when adults with smartphones are randomly selected, 55% use them in meetings or classes.…

A:

Q: Suppose you roll two six-sided die. What is the probability that the sum of the two die is at least…

A: Two fair dice are rolled. The total number of outcomes in the sample space be n(S) = 62 = 36. That…

Q: According to a theory a type of cross breeding of guinea pigs will produce red, black and white…

A: We have given that  Theory a type of cross breeding of guinea pigs will produce red, black and white…

Q: Assume that a bag contains 5 black, balls. 2 balis are drawn randomly one after another to hote…

A:

Q: Assume that when adults with smartphones are randomly​ selected, 43% use them in meetings or…

A: Define the random variable x as the number of adults using smartphones in meetings or classes. Here,…

Q: How many rolls of two dice are needed so that the probability of rolling a double six within this…

A: Given, number of die, n=2 total number of ways=36 The binomial distribution formula is…

Q: 8. In a college graduating class of 100 students, 54 studied mathematics, 69 studied history, and 35…

A:

Q: Assume that went adults with smartphones are randomly selected, 51% use them in meetings or classes.…

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

Q: Compute the probability that the number 2 appears 5 times when a fair die is rolled 8 times.

A: We have to find given probability.

Q: 10% are born as left handed. Calculate the probability that in a batch of 150 students, there are…

A: Given n=150 p=0.10

Q: According to a genetics theory, a certain cross of guinea pigs will result in red, black, and white…

A: Obtain the probability that among 7 offspring 4 will be red, 1 black and 2 white. The probability…

Q: According to a genetics theory, a certain cross of guinea pigs will result in red, black, and white…

A:

Q: Assume that when adults with smartphones are randomly​ selected,47​% use them in meetings or…

A: