1. A box contains 50 laptops, 10 of which are defective. 5 laptops are selected. Find the probability that 1 of them is defective. 2. It is given that 5% of cell phones is damages in a particular shop. Find the probability that 2 of 20 cell phones are damages.

Q: 1. A coin is tossed six times. What is the probability of obtaining four or more heads ?

A:

Q: 10. At John F. Kennedy Elementary School, 81% of students buy their lunch. In a randomly selected…

A: We have given that p = 0.81 n = 22 X ~Binomial(n, p) X ~ Binomial (22, 0.81)The PMF of the Binomial…

Q: c) If the letters of the word SPECIAL are written in a random order, what is the probability that no…

A: There are 3 vowels in the word SPECIAL, i.e. EIA. The number of ways of arranging these vowels are…

Q: Suppose you roll a six-sided die, with sides numbered 1, 2, 3, 4, 5, and 6, and with each number…

A: a) All possible outcomes= 1, 2, 3, 4, 5, and 6 So total 6 possible outcomes.   The possible outcomes…

Q: 4. If the king's 50 knights are all randomly assigned a sword, and the 50 swords in the king's…

A:

Q: 2) Compute the probability of event E if the odds in favor of E are 11 to 9.

A: We will find out the required value.

Q: A study contains 31 women and 24 men. If 3 subjects are randomly selected without replacement, what…

A: Solution-: We have, Number of women =31, Number of men =24            Total number of persons (Women…

Q: Suppose that 60% of all consumers favour internet shopping. If 5 consumers are randomly sampled and…

A: We have given that,  X be the random variable from binomial distribution with probability of success…

Q: 5. If a marble is randomly chosen from a bag that contains exactly 8 red marbles, 6 blue marbles,…

A: To find: The probability of the marble will not be white. Given: The bag contains 8 red marble, 6…

Q: 10. Ron was playing a game of blackjack. Assuming the 52-card deck was randomly shuffled, what is…

A: To find the percent probability that he will be dealt a face card followed by a two in any suit:

Q: e 5. If from a pack of cards, a single card is drawn, what is the probability that it is either a…

A:

Q: if six different customers a, b, c, d, e and f arrive for service at random order, what is the…

A:

Q: A cooler contains 8 bottles of Pepsi, 5 bottles of Coke,4 bottles of Mountain Dew, and 3 bottles of…

A: (a) A cooler contains 8 bottles of Pepsi, 5 bottles of Coke, 4 bottles of Mountain Dew, and 3…

Q: As you shop for dog treats, a seller advertises that 95% of veterinarians recommend their treats.…

A: The probability distribution function of binomial distribution is: Where, n = sample size, x =…

Q: and 3 are users of other drugs?(b) What is the probability that of 10 workers testing positive, all…

A:

Q: A person is randomly selected. What is the probability that the person is: a) Male? b) Male and a…

A: As per our guidelines, we are allowed to answer first three sub-parts only. Thanks Given Data :…

Q: In a group of 1000 people, only 5% have Type AB blood. a) On average, how many donors must be…

A: "Since you have posted a question with multiple subparts, we will solve first 3 sub-parts for you.…

Q: Suppose you select a sample of 100 consumers. a. What is the probability that in the sample fewer…

A: Note: Thank you for the question. Since multiple subparts are posted, according to our policy, we…

Q: accounting professor claims that no more than one quarter of undergraduate business students will…

A:

Q: . What is the probability of rolling all “4”s? (Give answer as fraction or decimal to 4 decimal…

A: Consider X be the random variable representing the number of 6-sided dice among the 5 dices that…

Q: A survey is being conducted in a county where 63% of the voters are Democrats and 37% are…

A: Given: A survey is being conducted in a country where 63% of the voters are democrats and 37% are…

Q: (iii) If there are a total of 100 concrete piles, what is the probability that 80 concrete piles are…

A: Binomial distribution, and standard normal dist are applicable to solve the (iii) part

Q: 4. A marketing survey indicates that 60% of the population owns an automobile, 30% owns a house, and…

A: Let A be the event where the population owns an automobile and let B be the event where the…

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

A: From the given information, Total time taken by traffic light is 80 seconds. For green it takes 45…

Q: a- What is the probability that a soft drink is chosen randomly by a customer? b- What is the…

A: Given Data : Total Number of customers = 80 Number of customers choosing Soft Drink = 18…

Q: 3. A plastic jar contains 4 triangular shape chocolates, 3 circular chocolates, and 6 rectangular…

A: The probability of an event is the ratio of the number of cases favorable to that event to the total…

Q: 13) Find the probability that a randomly selected tea is West.

A: let us first calculate the total number of tea the total number of tea is 180 and the probability of…

Q: 4. In a single throw of pair of coins, what is the probability that only one head will appear? d. b.…

A: Given that  A single throw of pair of coins Then there 4 outcomes  Possible outcomes=S=(HH,HT,TH,TT)…

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

A:

Q: 3a. According to Statista, 37% of the Russian people are worried about the extent of poverty in…

A: Given that p =0.37 , n =10 Using binomial distribution

Q: If records indicate that 4 houses out of 1000 are expected to be damaged by fire in any year, what…

A: Given that 4 houses out of 1000 are expected to be damaged by fire in any year. Therefore,…

Q: 1. A jar contains marbles with the following colors: 3 red, 5 blue, and 2 green. What is the…

A: A jar contains Red colour marbles = 3 Blue colour marbles = 5 Green colour marbles = 2 Total marbles…

Q: 3. What is the probability that the selected student is a male and ate breakfast?

A: From given tree diagram, P(M) = 0.4, P(F) = 0.6 P(B|M) = 0.8, P(N | M) = 0.2 P(B | F) = 0.3, P(N |…

Q: 5. The proportion of households that own at least one pet in a certain city is estimated to be one…

A: Let there a sequence of trials each having two outcomes, Success and Failure. Trials are independent…

Q: (a) What is the probability that exactly 3 of 5 light users are HIV positive? (b) What is the…

A: Here , To find required probabilities ,  one of the method , Binomial probability law can be used.…

Q: 1) A jar contains 7 red marbles, 2 green marbles, and 9 blue marbles? a) What is the probability of…

A: We have to find the probability in the given question.

Q: 10. The senior class is 55% female, and 32% are females who play a competitive sport. Find the…

A:

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

A:

Q: Suppose that 40% of boys opted for mathematics and 60% of girls opted for mathematics. What is the…

A: Probability is chance of occurrence of an event ,i.e probability is ratio of number of favourable…

Q: 1) A jar contains 3 purple marbles, 1 red marble, and 5 blue marbles? a) What is the probability of…

A: Given Data: The number purple marbles is: p=3 The number of red marbles is: r=1 The number of blue…

Q: Suppose a math class contains 37 students. There are 23 females (four of whom speak Spanish) and 14…

A: From the given information we make a table   Male Female Total Speaks Spanish 4 4 8 Do not…

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

A: Let X denote the number of those in the sample name chocolate. Then X follows a Binomial…

Q: On a single draw from a deck of 52 playing cards, what is the probability of getting: Multiple…

A: (a)   Obtain the probability of drawing spade in a standard deck of 52 cards.   The probability of…

Q: 3. If 42% of the people in a certain garment factory are members of a union, find the probability…

A:

Q: 3. A bowl contains 8 Nips®, 3 blue, 1 yellow, 1 red, 1 green, and 2 black. If a child picks one Nips…

A: Given that  Total nips=8 Blue nips=3 Yellow nips=1 Red nips=1 Green nips=1 Black nips=2 Note:…

Q: The probability that a motorist will use a credit card for gas purchases at a large service station…

A: Given data: Probability = 7/8  =  0.875 Sample size = 8 To find: (b) four of them will use a credit…

Q: In a cafe, there are 9 turkey sandwiches, 5 roastbeef sandwiches, and 3 ham and cheeses. If a…

A: