Two balls are drawn, without replacement, from a bag containing 15 red balls numbered 1−15 and 8 white balls numbered 16−23. (Enter your probabilities as fractions.) (a) What is the probability that the second ball is red, given that the first ball is white? (b) What is the probability that both balls are even-numbered? (c) What is the probability that the first ball is red and even-numbered and the second ball is even-numbered?

Q: If a sample of 4 hammers is selected, find the probability that all in the sample are defective.…

A: The binomial probability distribution is, PX=x=nxpx1-pn-x In the formula, n denotes the number of…

Q: If rain falls randomly with a 20% chance of rain on any given day, what is the probability that we…

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Q: Two balls are drawn, without replacement, from a bag containing 11 red balls numbered 1-11 and 6…

A: Given Data: Number of red balls=11 Number of white balls=6 Total number of balls=11+6=17   Number of…

Q: 2. The manager of a store buys portable radios in lots of 12. Suppose that, on average, 2 out of…

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Q: Suppose a box contains 4 defective batteries and 10 good batteries. If 2 batteries are drawn from…

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Q: A ball is drawn from a bag containing 11 red balls numbered 1-11 and 6 white balls numbered 12-17.…

A: number of red balls = 11 Sample space for the red balls S1=1,2,3,4,5,6,7,8,9,10,11 number of white…

Q: n a certain shipment of 10 radios, 4 are defective. 5 of the radios are selected at random without…

A: In 10 radios, 4 are defective. So, probability of defective radio = 4/10 = 0.4 p = 0.4 This problem…

Q: A box of jerseys for a pick-up game of basketball contains 1010 extra-large jerseys, 77 large…

A: We have given the following statement about the  We have  Extra- large jerseys = 1010. Large Jerseys…

Q: Two balls are drawn, without replacement, from a bag containing 11 red balls numbered 1-11 and 4…

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Q: 3. Suppose at a small college, 30% of the students are freshmen, and 60% of the students live on…

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Q: 2. Approximately 6% of the male population is color-blind. If a random sample of 250 male adults is…

A: Given that  n= 250 , p=6%=0.6 , q=1-p=1-0.06=0.94

Q: For 100 births, P(exactly 57 girls) = 0.0301 and P(57 or more girls) = 0.097. Is 57 girls in 100…

A: From the provided information, For 100 births P (exactly 57 girls) = 0.0301 and P (57 or more) =…

Q: A factory received a shipment of 28 lightbulbs, and the vendor who sold the items knows there are 7…

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Q: n average cleo catches a fish on 45% of the times that he casts his fishing line. If he casts his…

A: Given data, Proportion of cleo catches a fish is p=45% =0.45 n=15 what is the probability that he…

Q: A factory received a shipment of 33 sprockets, and the vendor who sold the items knows there are 6…

A: No. of sprockets(N)=33 No of defective sprockets(X)=6

Q: (a) Suppose on an average 1 house in 1,000 in a certain district has a fire during a year. If there…

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Q: A couple decides to continue to have children until they have two males. Assuming that P(male)=0.4,…

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Q: 4. Seth has 4 plaid shirts and 5 solid-colored shirts hang- ing together in a closet. In his haste…

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Q: A factory received a shipment of 28 lightbulbs, and the vendor who sold the items knows there are 7…

A: I am going to solve the given problem by using some simple algebra to get the required result.

Q: A piggy bank contains a mix of 60 pieces of nickels and 60 pieces of 25-centavo coins. The two kinds…

A: Given data :  Total number of coins = 120  Number of nickels = 60  Number of 25-centavo coins = 60

Q: Suppose the probability that a person picked at random has lung cancer is 0.035 and the probability…

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Q: In a tennis match, with the score at deuce, the game is won by the first player who gets a clear…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: A factory received a shipment of 26 lightbulbs, and the vendor who sold the items knows there are 7…

A: Given,n=7p=726X=no.of lightbulbs in the sample are defectiveX~Binomial(n=7 , p=726)P(X=x)=cxn px…

Q: here are 500 seniors at a certain high school, of which 230 are males. It is known that 30% of the…

A: Using Tree diagram I have answered it

Q: A box contains 11 large marbles and 14 small marbles. Each marble is either green or white. 5 of the…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: A manufacturer of airplane parts knows from past experience that the probability is 0.80 that an…

A: According to the Bartleby guideline only one question can be solved at one time, post the remaining…

Q: 4. Matt, unhappy with his chance of success in the previous game, tries a new game. In this game,…

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Q: A dry cleaning firm has 20 employees: 13 women and 7 men. Two of the women and seven of the men are…

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Q: A ball is drawn from a bag containing 11 red balls numbered 1-11 and 5 white balls numbered 12-16.…

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Q: Tony is awaiting a delivery, but needs to jump in the shower. If the delivery is to come anytime…

A: The uniform distribution is, fx=1b-a      x∈a,b The random variable X is defined as delivery time.…

Q: Suppose a box contains 10 defective batteries and 15 good batteries. If 2 batteries are drawn from…

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Q: A remedial program evenly enrolls tradition and non-traditional students. If a random sample of 4…

A: Given,n=4p=12    (probability of selecting traditional students)q=1-12=12A random variable…

Q: The probability that an automobile being filled with gasoline also needs an oil change is 0.25; the…

A: From the given information, we have, The probability that an automobile being filled with gasoline…

Q: Approximately 6% of the male population is color-blind. If a random sample of 250 male adults is…

A:

Q: You have a well-mixed bowl of candy with 20 red M&Ms and 32 red Skittles, and your unsuspecting…

A: Given : no of red M&Ms candy =20  no of red skittles=32  total nonof candy =52  sample drawn…

Q: In a given​ year, 2,113,333 males and 2,035,387 females were born in a certain country. If a child…

A: It is given that, there are 2,113,333 males and 2,035,387 females in a century.

Q: At a certain company, the mentoring program and the community outreach program meet at the same…

A: Given Mentoring=0.43 Outreach=0.32

Q: A factory received a shipment of 20 sprockets, and the vendor who sold the items knows there are 6…

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Q: A box of 12 batteries has 3 defective ones. (Enter your probabilities as fractions.) (a) If 2…

A: Given: A box of 12 batteries has 3 defective ones and 2 batteries are drawn from the box together.

Q: A manufacturer obtains​ clock-radios from three different​ subcontractors: 40%from​ A,10%from​ B,…

A: It is given that a manufacturer obtains clock-radios from three different subcontractors are 40%…

Q: A factory received a shipment of 34 lightbulbs, and the vendor who sold the items knows there are 8…

A: Given that, There are 34 light bulbs and 8 light bulbs in the shipment that are defective. So there…

Q: witch is planting a garden. In one of her garden beds, she plants asparagus with probability 0.331,…

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Q: A pack of 20 flash drives contains 3 defectives.  If 3 items are drawn without replacement, find the…

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Q: (1) A witch is planting a garden. In one of her garden beds, she plants peppers with probability…

A: Given that, witch is planting a garden. In one of her garden beds, she plants peppers with…

Q: factory received a shipment of 39 hammers, and the vendor who sold the items knows there are 7…

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Q: committee of 4 is being formed randomly from the employees at a school: 4 administrators, 32…

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Q: b. In oil exploration, the probability of an oil strike in the North Sea is 1 in 500 drillings. What…

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Q: A car rental firm has 480 cars. Sixty-four of these cars have defective turn signals and 36 have…

A: Given that there are total 480 cars, out of which 64 cars have defective turn signal and 36 have…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.