Illustration 67. In an umbrella factory, where the umbrellas are bundled in tens, there is a little chance (50) of an umbrella being defective. Find the approximate number of packets containing not more than 2 defective umbrellas in a consignment of 10,000 bundles.

Q: Start with a deck of 64 cards—16 cards in 4 suits. Ask a person to think of card. Your task is to…

A: The amount of information uncertainty in the single card,  Hs= log2N  Here total cards are N= 64 Hs=…

Q: 3. Suppose 1500 runners are in a race. How many ways could the runners finish in 1*, 2nd and 3rd…

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Q: 5. A bag contains 20 identical red balls, 20 identical blue balls, 20 identical green balls, and one…

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Q: Ten athletes compete in a race. How many ways can they be awarded if only the first, second and…

A: there are 10 athletes compete in a race

Q: A new smart phone comes in five colors, two screen sizes and with four different data plans. In how…

A: It is given that a new smartphone comes in five colors, two screen sizes, and four different data…

Q: Task 9. Randomly arrange 10 volumes of the encyclopedia on the shelf. Calculate the probability…

A: Permutation: A permutation of a set is defined as an arrangement of its members into a sequence or…

Q: A shipment of 95 TV sets is received. Five sets are to be chosen at random and tested for defects.…

A: Here we have Number of TV sets (n) = 95 Number of sets to be choosen (r) = 5 Here we will we the…

Q: A drawer contains 20 pens, of which 4 are green, 7 are orange, and 9 are black. At the least, how…

A: Given Data: Number of green pens=4 Number of orange pens=7 Number of black pens=9   Total number of…

Q: 8.) Madison is reading a novel on her Kindle. When she completes page 168, her Kindle says she has…

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Q: vo sixes in a row. Your task =, required to roll two sixes init

A: To find the average of the two sixes in a row as,

Q: In how many ways can eight different flowers be arranged in a wreath?

A: Eight different flowers need to be arranged in a wreath.

Q: A coin is tossed five times. In how many ways can it fall three heads and two tails?

A:

Q: Suppose we first roll a six-sided die, and then flip a fair coin as many times as the number on the…

A: Given that - Roll a six-sided die, and then flip a fair coin as many times as the number on the die.

Q: Out of 6 children, in how many ways can a family have at least 1 girl?

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Q: 5. Suppose that a fair coin is tossed 1000 times. If the first 100 tosses all result in heads, what…

A: It is given that for the fair coin, the initial 100 tosses out of 1000 total tosses result in heads.…

Q: . evaluate perm(5,3)= b. evaluate perm(22,6)= c. evaluate comb(5,3)=

A: a. evaluate perm(5,3)=? b. evaluate perm(22,6)=? c. evaluate comb(5,3)=?

Q: 2. Af East Middle School, 28% of the students are in the band. If 168 students are in the band, then…

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Q: 5.) Nick has collected 21 of the necessary 140 parts of the robot he is building. What percent of…

A: We know, percentage = valueTotal value×100

Q: Suppose that there are 8000 students in a college and 400 students had contracted the flu at the…

A: 1st we have to make a differential equation for number of students get  contracted and the have to…

Q: In a survey of 1000 students it was found that 840 own a cell phone, 450 own an MP3 player and 370…

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Q: Suppose you toss a fair coin 10,000 times. Should you expect to get 5000 heads?

A: As we know every time a fair coin is tossed the chance of getting head or tail is equal that is 50…

Q: How many of the 60 students in a 25-item quiz can have the same score? 2. Apples, bananas, and…

A: The pigeonhole principle can be used to calculate the least number of objects. The pigeonhole…

Q: 5. Since the regular season rankings matter for rankings in the playoffs (top two teams are rewarded…

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Q: Determine the p.f. of the number of heads that will be obtained

A: a fair coin is tossed 10 times independently. Each trial is independent Finite number of trial…

Q: In the Sanatorium For Acute Intellectual Malnutrition, a nourishing twelve course Christmas Exam is…

A: Given: n = 20 To find: The number of orphans who will on average end up without a test given that…

Q: 15. A scientist wants to determine the number of alligators in a Louisiana bayou. To do this, the…

A: Sample proportion (p^)=Number of successes in the sample (x)Total sample size (n)Population…

Q: There are 32 different cards in a deck for playing Twenty-Nine. The cards are distributed equally…

A: As 32 cards are distributed equally among four players, the numbers of cards on each player is…

Q: f the coin is flipped 100 times, how many times would you predict that the coin lands on heads in…

A: Let us assume the probability of head of the coin=pThe coin is tossed 100 times.So the expected…

Q: From a group of 20 nurses, 4 are to be selected to work a night shift. In how many ways can this be…

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Q: 6. You have 7 identical cookies to distribute to 4 kids. (a) How many ways can you distribute the…

A: Given , 7 identical cookies.   4 kid available .   According to (a) and (b) condition we need to…

Q: You are a professor of journalism and have 14 students in your class. How many ways can you line up…

A: Given,total no.of students=14

Q: 4. Suppose you have 12 masks (three green, three purple, three yellow, and three orange) to…

A: Solution: Given information; Total masks=  3 green + 3 purple + 3 yellow + 3 orange n= 12

Q: 1. Draw a spinner with 3 or more sections that are not all the same size. 2. Your spinner is spun…

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Q: In a certain class of 25 students, 12% received A’s, 30% received B’s, 42% received C’s, and 12%…

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Q: Suppose that 15 athletes are competing in a final at the Olympics. In how many ways can the medals…

A: Given: 15 athletes are competing in a final at the Olympics. The objective is to find the number of…