A kissed frog has a 70% chance of turning into a prince, while a kissed toad has only a 20% chance of turning into a prince. If 16 frogs and 18 toads are kissed, what is the expected number of princes produced?

Q: At a major credit card bank, the percentages of people who historically apply for the Silver, Gold…

A: Given Information: Percentage of silver card customers = 60%  Percentage of Gold card customers =…

Q: A 5-card hand is dealt from a perfectly shuffled deck so that each 5-card hand is equally likely.…

A: Let X denote the expected number of hearts in 5 card hand. Form probability distribution for the…

Q: The manager of a supermarket found that 72% of the shoppers who taste a free sample of a food item…

A: Let X= number of shoppers that will buy the item who taste a free sample Given that the probability…

Q: A new surgery is successful 70%of the time. If the results of 9 such surgeries are randomly sampled,…

A: Given that a new surgery is successful 70%of the time.  Probability, p = 70% = 0.70 Sample size, n =…

Q: A bag of 22 candy bars contains 9 kitkats. 4 bars are selected at random. What is the probability…

A: In question, Given that a bag of 22 candy bars contains 9 kitkats, 4 bara randomly selected. Then…

Q: What is the expected number of doubles that you can get when two dice are rolled 20 times

A: When one dice rolled, sample space: {1,2,3,4,5,6}

Q: Of the automobiles produced in a plant, 40% had a certain defect. Suppose a company purchases five…

A: Given: 40% of defective cars. i.e. p=0.4 . Number of cars company purchasesn=5

Q: A coin is biased such that a tail is six times as likely to occur as a head. Find the expected…

A: We have to find mean of no. of heads toseed.

Q: At a major credit card bank, the percentages of people who historically apply for the Silver, Gold…

A: Formulae : 1) Expected value = N*Pi  , where n is sample size.   2) Chi-square test statistic : χ2…

Q: Pennsylvania has lottery entiltled big 4. To win, a player must correctly match four digits from a…

A: Given, To win, a player must correctly match four digits from a daily lottery in which four digits…

Q: On three rolls of a single die, you will lose $15 if a 5 turns up at least once, and you will win $6…

A:

Q: A person buys a raffle ticket for $20. 500 tickets are sold. One winner is chosen and receives…

A:

Q: In a family with 2 children, excluding multiple births and assuming that a boy is as likely as a…

A: Let B=Boy and G=Girl Possible number of outcomes for two children are {BB, BG, GB, GG} Let x= number…

Q: A reputed school when purchasing large shipments of dry erase markers for all its branches. To do…

A:

Q: A couple wishes to have children until they have exactly two female children in their family. What…

A: The couple wishes to have two girl child.So, r=2and the probablity of male child is 0.5=qSo, the…

Q: A quiz has 10 multiple-choice questions. Each has 4-options, so a 25% chance of guessing correctly.…

A: According to the provide information, A quiz has 10 multiple-choice questions. Each has 4-options,…

Q: An urn contains four balls numbered 3, 5, 8, and 10. If a person selects a set of two balls at…

A: An urn contains four balls numbered 3, 5, 8, and 10 and a person selects a set of two balls at…

Q: A box contains 5 green balls and 4 red balls. The probability of selecting 2 green balls and 1 red…

A: Given: box contains 5 green and 4 red balls  3 balls are drawn without replacement then the…

Q: A group of students consisting of 20 males and 20 females were selected to participate in a research…

A: The number of male students is 20 and the number of female students is 20.

Q: On three rolls of a single​ die, you will lose ​$12 if a 6 turns up at least​ once, and you will win…

A: On three rolls of a single​ die, you will lose ​$12 if a 6 turns up at least​ once, and you will win…

Q: A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan…

A:

Q: A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan…

A: Consider X be a random variable which follows binomial distribution indicates the number of…

Q: A bag has three times as many green marbles as there are blue. If you take 8 marbles from this bag,…

A: In question,  Given that a bag has three times as many green marbles as there are blue marbles, 8…

Q: Two six-sided dice were rolled 20 times.Doubleswere rolled 4 times. What is the experimental…

A: In the given case There are a total 20 trials (n) that is 20 times the dice were rolled. The…

Q: A coin is biased such that a head is nine times as likely to occur as a tail. Find the expected…

A:

Q: If 11% of the population has a certain illness , what is the expected number of ill people in a…

A:

Q: An urn contains four balls numbered 1, 3, 4, and 6. If a person selects a set of two balls at…

A: Given that there are 4 balls.A person selects two balls. So total number of outcomes=4C2=6So the…

Q: If one normal stapler selected randomly from the factories, find the probability when it comes from…

A: here define events and draw probability tree stapler produce by china Factory = C stapler produced…

Q: Although studies continue to show smoking leads to significant health problems, 20% ofadults in the…

A: The 20% of the adults in the United States are smokers. The sample size is 250 adults. The formula…

Q: If a seed is planted, it has a 65% chance of growing into a healthy plant. If 6 seeds are planted,…

A:

Q: Each sample of oil has a 20% chance of containing sulfur. Suppose 20 samples are taken independently…

A: Given that,Each sample of oil has a 20% chance of containing sulfur.Sample size = 20

Q: What is the probability of throwing a three with a single die 4 times out of 5 trials?

A:

Q: A group of students consisting of 20 males and 20 females were selected to participate in a research…

A: The number of male students is 20 and the number of female students is 20.

Q: It is known that 70% of adult workers have a high school diploma.  If a random sample of 25 adult…

A:

Q: If 54% of all Americans approve the recent job performance of the president, what is the expected…

A: Given: n=1036 p = 54% of all Americans approve the recent job performance of the president = 0.54…

Q: A box contains 5 red and 4 green marbles. If 6 marbles are drawn without replacement, what is the…

A: We have given that Number of success (k) = 5 Population size (N) = 5+4 = 9 Sample size (n)  = 6

Q: 33 live births per 1,000 per year result in twins, what is the probability of getting more than…

A: The true percentage of live births that result in twins will be: p  =331000×100    =3.3%

Q: In a 2 colour spinner, the probability of spinning red is 4 times the probability of spinning green.…

A: Let there are n trials and each having two outcomes - Success and Failure. The trials are…

Q: Find the expected value for a person that buys one ticket

A: Expected value = number of required/ number of total

Q: In a survey of the weights of the backpacks of 52 students, 11 students' weighed between 0 and 12,…

A: Solution: The given data is

Q: A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan…

A: Given: Number of trials (n) = 53 Probability of success (p) = 0.06

Q: It is known the 60% of toddlers have too much screen time. A randome sample of 8 toddlers were…

A: Here, too much screen time follows binomial distribution with n = 8 and p = 0.60.

Q: At a major credit card bank, the percentages of people who historically apply for the Silver, Gold,…

A: The null and alternative hypothesis is,   The expected number of customers applying…

Q: A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just…

A:

Q: A coin is biased such that a head is twice as likely to occur as a tail. Find the expected number of

A: When tossing a coin, the possible outcomes are Tail and Head. PH+PT=1 A coin is biased such that a…

Q: Find the expected number of infected ducks in a sample of 5 ducks if the probability of an infected…

A: Let the random variable X represents the number of infected ducks.It is given that the probability…

Q: A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just…

A: Here, the given values are: Calculate the mean

Q: ou roll three 5-sided dice simultaneously(each with an equal probability of landing on each number 1…

A:

Q: The probability of a radar station detecting an enemy plane is 0.65 and the probability of not…

A: We have to find expected no. Of stations detect plane.

Q: In a genetics experiment on​ peas, one sample of offspring contained 396 green peas and 296 yellow…

A: Given,no.of green peas=396no.of yellow peas=296Total no.of peas=692

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.