When packaging a product, a manufacturer finds that one packet in twenty is underweight. Determine the probabilities that in a box of 72 packets less than 4 will be underweight.

Q: Morgan buys a bag of cookies that contains 4 chocolate chip cookies, 6 peanut butter cookies, 8…

A: The probability formula is, Probability=Favourable outcomesTotal outcomes A bag contains totally 27…

Q: A manufacturer ships toaster s in cartons of 20 In each carton , they estimate a 5% chance that one…

A: Solution:Binomial distribution:The binomial distribution gives the probability of number of…

Q: Lisa has 8 pieces of black socks and 4 pieces of pink socks in her bedroom drawer. If she randomly…

A:

Q: A recent survey found that 2.9% of adults are allergic to shellfish, while 1.8% are allergic to…

A: Given that the percentage of allergic to shellfish is 2.9%, the percentage of allergic to peanuts is…

Q: Find the probabilities of getting Three 3s and then a 4 or a 5 in 4 rolls of a balanced die

A: a) since probability of a head on a fair coin is 1/2 therefore due to independence of trials P(eight…

Q: At a dog show, there are 26 tickets in a raffle cup for the basket I want (including mine).  What is…

A: The total number of tickets are 26 and only one ticket per person in the cup is allowed.

Q: If 50 of 250 people contacted make a donation to the city symphony, the probability of outcome of…

A:

Q: Allen, an NBA player who is now retired, had 0.8 probability of scoring a three point throw. If he…

A: From the provided information, The probability of scoring a three-point throw (p) = 0.8 Sample size…

Q: According to a survey of American households, the probability that the residents own 2 cars if…

A: According to the provided data,

Q: A diabetes test is positive 85% of the time when the patient has diabetes and negative 95% of the…

A: Given data:- Diabetes test is positive 85% of the time when the patient has diabetes  diabetes test…

Q: A manufacturer ships toasters in cartons of 10. In each​ carton, they estimate a 30​% chance that…

A: Let X be the random variable from binomial distribution with probability (p)= 10% = 0.10 and sample…

Q: the director of a film festival received 8 submissions, 5 of which were silent films. If the…

A:

Q: snip

A: Given: Probability of success in first operation is, P(A)=97%=0.97. Probability of success in…

Q: A supplier has 200 compact discs,of which 10% are known to be defective. If a music store purchases…

A: 10% of 200 discs are defective.  So, 10% of 200=0.10x200=20 20 discs are defective and (200-20)=180…

Q: A flower shop is about to close for the day when a customer walks in a hurry and asks for a bouquet…

A: Answer - The shop owner has  12   yellow roses and   13   red roses left after a busy day, Total =…

Q: A supplier of heavy construction equipment has found the probability of a sale of a particular piece…

A: Given : p = 0.3 r = 3

Q: When spinning a spinner, there is an equal chance of landing on orange, green, yellow, red, and…

A: Answer:

Q: A manufacturer produces switches and experiences that 2% switches are defective. The probability…

A: Given: p(defective switches) = 0.02 n = 60

Q: The probability that Team B beats Team A in any given game is .6. What is the probability that Team…

A: It is given that , The probability that team B beats Team A in any game is , p= 0.6. The Team B wins…

Q: If a seed is planted, it has a 70% chance of growing into a healthy plant.

A: Given that the 70% chance of growing into a healthy plant. P(growing a plant)=0.70 P(not…

Q: If math. Professor receives on average of 5 e-mail messages per day from Students, then the…

A:

Q: A married couple and four of their friends sit at a round table. What is the probability that the…

A: In a circle of n different persons, the total number of possible arrangements is (n-1)!.It is given…

Q: If 20 horses face off in the Kentucky Derby, what is the probability of winning with an exacta (a…

A: Given that there are 20 horses.  So the probability of each horse winning is= 120   If I bet on 2…

Q: The probability that Sam parks in a no-parking zone is 6%, and the probability that Sam cannot find…

A: The probability that Sam parks in a no-parking zone = 0.06 The probability that Sam cannot find a…

Q: Recent research suggests that 73% of Americans have a home phone, 83% have a cell phone, and 58% of…

A: Given:

Q: Garrett buys a bag of cookies that contains 4 chocolate chip cookies, 6 peanut butter cookies, 5…

A: There are 4 chocolate chip, 6 peanut butter, 5 sugar and 7 oatmeal cookies in the bag. So, total…

Q: Danny selects a glass bottle from the shelf randomly without looking and then tosses the fair coin.…

A: The selection of glass bottles and tossing coins are two independent events.  So, we have to find…

Q: 3. YO-Magic! Bakery receives on average 13 take-out orders of their best-selling cheesecake in one…

A: Given that, YO-Magic! Bakery receives on average 13 take-out orders of their best-selling cheesecake…

Q: Brendan buys a bag of cookies that contains 9 chocolate chip cookies, 5 peanut butter cookies, 7…

A: Given Information: Number of chocolate chip cookies = 9  Number of peanut butter cookies = 5  Number…

Q: The employees of a firm that manufactures insulation are being tested for indications of asbestos in…

A: NOTE-AS PER POLICY I HAVECALCULATED FIRST MAIN QUESTION ONLY       Here Given proportion of…

Q: Chris buys a bag of cookies that contains 9 chocolate chip cookies, 5 peanut butter cookies, 7 sugar…

A: There are total (9+5+7+8)=29 cookies in the bag.  Since she is eating the first cookie so this event…

Q: shows that 95% of submachine gun buyers purchase a box of bullets. What is the probability that a…

A: Here Given P(P)=Probability Personnel buy Pistol=0.85 P(G)=Probability that Personnel  buy  Gun=0.15…

Q: A softball pitcher has a 0.482 probability of throwing a strike for each pitch.  If the softball…

A: It is given that the probability of throwing a strike for each pitch is 0.482. Assuming that…

Q: A grocery store had 10 cartons of milk, 2 of which are strawberry flavored. If you are going to buy…

A: Given A grocery store had 10 cartons of milk, 2 of which are strawberry flavored.  If you are going…

Q: Out of 800 farnilies with 5 children each, how many would you expect to have (i) 3 boys, (ii) 5…

A:

Q: Jimmy has a a three sectioned box filled with 45 marbles total. What is the probability of the…

A: Assuming that the marbles are identical. The total number of ways in which we can fill the three…

Q: Three men are seeking public office. Candidates A and B are given the same chance of winning, but…

A: We have given that three men are seeking public office. P( A ) = P( B ) And, P( C ) = 3*P( A ) or…

Q: A key shop advertises that the keys made there have a P = 0.85 of working effectively. If you bought…

A: Let "X" be the keys that would work effectively.

Q: Amy buys a bag of cookies that contains 7 chocolate chip cookies, 8 peanut butter cookies, 5 sugar…

A: There are total (7+8+5+7)= 27 cookies  She can pick the first cookie in 27 ways and second cookie in…

Q: Kim buys a bag of cookies, 7 chocolate chip, 6 peanut, 4 sugar and 5 oatmeal. What is the…

A: A bag of cookies contains 7 chocolate chip, 6 peanut, 4 sugar and 5 oatmeal that is totally there…

Q: During a recent year, there were 15.3 million automobile accidents, 5.2 million truck accidents, and…

A: Number of automobile accidents   = 15.3 million Number of truck  accidents   = 5.2 million Number of…

Q: A man drops 10 black stones and 30 white stones into a bag. what is the probability that a stone…

A: Let W be the drawn stone is white. There are totally 40 stones in a bag out of which 10 are black…

Q: Out of 800 families with 4 children each, what percentage would be expected to have no girls? Assume…

A: From the provided information, There are 800 families with 4 children each. The probability of girl…

Q: A college basketball player makes 80% of his free throws. Over the course of the season, he will…

A:

Q: In a school 30% of students like ice cream and of those who like ice cream, 10% like cake. What is…

A: Define following two events:   A: a student likes ice cream B: a student likes cake.    Following…

Q: Amy tosses a fair seven-sided die 4 times.  What is the probab

A: Given information: Amy tosses a fair seven-sided die 4 times. The total number of outcomes is,…

Q: 1. Out of 800 families with 5 children each, how many would you expect to have (a) 3 boys, (b) 5…

A: Given data: Out of 800 families with 5 children each, To find: how many would you expect to have ;…