In a certain country, 47 percent of the population are on a strict diet. In a sample of 20 individuals, what is the probability that exactly 7 individuals are on a strict diet?

Q: According to government data, the probability that an adult was never in a museum is 15%. In a…

A: The probability density function of binomial distribution is: Here, p=0.15, n=10.

Q: At Riyadh 5% of all students play football and basketball, 32% of all students play football. What…

A: Let , A=all students play foot ballB=all students play basket ballgiven,P(A∩B)=0.05P(A)=0.32

Q: A department of commerce enrolls 125 students out of which 50 are girls. If 15 girls and 25 boys of…

A: It is given that, A department of commerce enrols 125 students out of which 50 are girls. It means…

Q: If one card is randomly chosen from a standard deck, what is the probability that a 5 is chosen,…

A: A pack of cards contains 52 cards in total with 13 Spades, 13 Diamond, 13 Hearts & 13 Clubs.

Q: In a large population, 51% of the people have been vaccinated. If 5 people are randomly selected,…

A: Probability of selecting a person who has been vaccinated is 51% or 0.51 Number of observation = 5…

Q: In a large population, 59 % of the people have been vaccinated. If 3 people are randomly selected,…

A: Binomial distribution:It is a discrete probability distribution that has exactly two outcomes for…

Q: Given that you picked a white raspberry, what is the probability that the chocolate is from box 1?

A: Given:

Q: In a single throw of two dice, what is the probability of getting the same numbers on both dice?

A:

Q: At a car manufacturing plant, 20% of cars have some sort of defect when they come off the line. If…

A: The Binomial probability distribution is: PX=xnxpx1-pn-x In the formula, n denotes the number of…

Q: According to the June issue of Consumer's Digest, census figures show that in 1978 almost 53% of all…

A:

Q: On a deck of 52 playing cards, what is the probability of drawing either a heart or a club, then a…

A:

Q: If you roll a single, six-sided die, what is the probability of getting either a 4 or a 5?

A:

Q: Given that a random student plays music, what is the probability that the student does not play…

A: It is given that the number of students play music is 18+5 = 23.

Q: In a given​ year, 1,895,051 males and 1,792,212 females were born in a certain country. If a child…

A: Given Data: The number of males born is: n(M)=1895051 The number of female born is: n(F)=1792212 The…

Q: A. If we took a random sample of a single individual from this population, what is the probability…

A: Let X be the number of yellow flowers which follows binomial distribution. The probability of…

Q: If you select one card at random from a standard deck of 52 cards, what is the probability that the…

A:

Q: According to the Federal Communications Commission 70% of all us households have vcrs in a random…

A: According to the provided information, p=0.70 n=15 The pmf of binomial distribution is: P(X=x) =…

Q: In a recent study, 35% of people surveyed indicate chocolate was their favorite flavor of ice cream.…

A: It is given that 35% of the people surveyed indicate chocolate was their favourite flavour of ice…

Q: In a recent study nationwide, it was found that 52% of people like college football better than…

A: Answer: Given that: p= 0.52 , n= 2 now will use Binomial probability P(X=x)=nx*px*(1–p)n–x,where…

Q: In a family of 6 children, what is the probability of getting exactly 5 boys?

A: Given: n=6probability of boy p=0.5probability of girl q=0.5 The probability of getting exactly 5…

Q: In a group of 5 people, what is the probability that at least two of them have the same birthday?…

A: Given: group of 5 people group of 50 people  we want to find probability that at least two have the…

Q: A medication states that the odds of having an allergic reaction are 1 in 50. What is that…

A: Given that, A medication states that the odds of having an allergic reaction are 1 in 50. Therefore,…

Q: If 11 seeds are planted, what is the probability that exactly 4 don't grow?

A:

Q: In a large population, 64 % of the people have been vaccinated. If 4 people are randomly selected,…

A: Proportion of people vaccinated (p) = 0.64 Proportion of people not vaccinated (q) : q=1-pq=0.36 n =…

Q: In a family of 6 children what is the probability there are exactly 4 girls?

A: Solution: 9. Let X be the number of girls and n be the sample number of children. From the given…

Q: In a certain science degree program, 25 percent of the students failed their mathematics exam, 15…

A:

Q: In a group of 10 people chosen randomly, what is the probability that three of the ten people have a…

A: Given: Number of trials (n) = 10 Probability of success (p) = 11000000=0.000001 Let X be the number…

Q: Police records show that for a certain area in Arendale, when the driver of a car double parks, 60%…

A: Let X be the number of not allowed towed away  Let p be the probability of towed away=0.6  q be the…

Q: At a car manufacturing plant, 20% of cars have some sort of defect when they come off the line. If…

A: Given dataProbability of defect in a car(p) = 0.20n = 99According to Binomial theoremProbability of…

Q: A set of traffic lights shows green for 45 seconds, amber for 5 seconds and red for 30 seconds. When…

A: It is given that the set of traffic lights shows green light for 45 seconds, amber light for 5…

Q: in a classroom of 30 students, what is the probability that at least two of the students share a…

A: Introduction:The probability of an event is the number of cases favorable for the event, divided by…

Q: If the selected chip is white, what is the probability that the other chip in the bowl is red?

A: It is given that the white chip is selected. Hence, either bowl B or bowl C is chosen. (Bowl A has…

Q: In a given​ year, 1,984,239 males and 1,759,722 females were born in a certain country. If a child…

A:

Q: In a school of 100 students, 70 students play either football or cricket with 40 students that play…

A:

Q: A marketing research survey shows that approximately 80 percent of the car owner surveyed indicated…

A: Probability of an event is chances of occurrence of the event. Probability of an event is computed…

Q: At a certain car dealership, 20% of customers who bought a new vehicle bought an SUV, and 3% of them…

A: It is given that, the proportion of customers who bought a new vehicle bought an SUV is 0.20 and the…

Q: A company set up a kiosk in the Mall of America for several hours and asked randomly selected people…

A: There are 10 white color, 20 black color, 25 lime color, 35 orange, and 10 red color phones.

Q: In a given​ year, 1,841,277 males and 2,071,896 females were born in a certain country. If a child…

A:

Q: In a large population, 70 % of the people have been vaccinated. If 5 people are randomly selected,…

A: Solution: Let X be the number of people has been vaccinated and n be the sample number of people…

Q: In a certain card game, four players are dealt 13 cards each from a conventional deck of 52 cards.…

A: Answer: - In a certain card game, four players are dealt 13 cards each from a conventional deck of…

Q: In a deck of 52 cards, what is the probability of getting a hand of five cards and getting exactly…

A: The number of ways to select 5 cards from deck of 52 cards=C552=52!5!…

Q: Given that 20 books in a shipment of 200 books contain misprints, and you buy three of them. What is…

A:

Q: In a certain community, on a particular weekday evening, the television is being watched in 85% of…

A:

Q: Researchers at a reputable university and a reputable health organization claim that approximately…

A: Binomial distribution: A discrete r.v. X taking values 0,1,2,3, …., n is said to follow a binomial…

Q: If a ball is selected at random from an urn containing three red balls, two white balls, and five…

A: According to the provided information, there are 3 red balls, 2 white balls, and 5 blue balls

Q: In general, after a group makes a reservation at a restaurant, they do not show up 20% of the time.…

A: Multiplication rule for independent events:If two events A and B are independent then the…

Q: From a standard deck, what is the probability of picking either a jack or a spade?

A: Total number of card in a deck is 52. Number of spades in total cards is 13. Number of jacks in…

Q: A coin is tossed eight times. What is the probability that the outcome will be eight heads, given…

A:

Q: In one town, 81% of all voters are Democrat. If two voters are randomly selected for a survey, what…

A: It is given that the percentage of voters are Democrat is 81%.

Q: If 12 coins are tossed, what is the probability that six of them will be heads (approximately)?

A: Number of times coin is tossed = 12 Probability of getting head in single toss =0.5 Probability of…