In an exam, there are 5 questions to be answered as either true or false. A good answer gives 2 points, and a bad answer is marked as -1 point. A student who has not prepared for his exam decided to answer these 5 questions at random. Let X be the mark that this student will get. (a) Give the discrete support of the random variable X (that is the set of all possible results (b) What is the probability mass function of X? (c) Calculate P(X > 5).

Q: (a) If a letter is chosen at random from the English alphabet, find the probability that the letter…

A: According to the information provided in the question, it is required to determine the stated…

Q: A fair 4 sided balanced die has faces marked 1, 2, 3, 4. (a) A pair of these dice are tossed. X is…

A: Given that A fair 4 sided die has faces marked 1,2,3 and 4 The number of possible combinations are…

Q: Let X be the number of times '4' is rolled out of a total of 8 rolls.  What is the probability that…

A:

Q: iscrete support of the random variable X

A: Given the information in question is 5 questions to be answered In the true to the false format The…

Q: A brand name has a 60% recognition rate. If the owner of the brand wants to verify that rate by…

A:

Q: For a uniform random variable U∼U(0,14)U∼U(0,14), find the probability P(U>11)P(U>11): P(U>11)

A: From the provided information, U~U(0, 14) a = 0 and b = 14

Q: suppose that X is a random variable giving the number of tosses necessary for a fair coin to turn up…

A: Given that Let X denotes the random variable giving the number of tosses for a fair coin to turn up…

Q: 3 Assume that a biased die has P(1) = 1, P(2) = }, P(3) = P(4) = ¿ , P(5) =,P(6) = . If the die is…

A: Given - Assume that a biased die has P1 = 14, P2 = 18, P3 = P4 = 16, P5 = 112, P6 = 524. To find -…

Q: A woman makes  a successful first serve 57%  of the time. If she serves 16 times, what is  the…

A:

Q: A coin is loaded so that the probability of heads is 0.7 and the probability of tails is 0.3.…

A: Given data: Probability of head=0.7 Probability of tail=0.3

Q: ree people participate in a Tech fest.The probability that they in in tech fest are 1/3,1/5,1/7…

A:

Q: Jerry is a trickster. He managed to create a coin which has probability of coming up H is p = 0.5304…

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Q: The probability that a person in the United States has type B+ blood is 7%. Four unrelated people in…

A:

Q: The probability that none of the five have type B* blood is 0.498. (Round to three decimal places as…

A: Let p b ethe probability of having type B+ blood. Given that p = 0.13 Let X denote the number of…

Q: Solve the attached please

A: In the English alphabet, there are 26 letters (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r,…

Q: You have 4 pennies (1¢ each) and 3 nickels (5¢ each) in your pocket. You reach in and blindly grab…

A: Probability = No of ways to get 11 C/ Total number of ways

Q: The probability generating function for a random variable X is given by: 10 25 + + P(X 13) equals…

A: Probability generating function is given . We need to find P( X < 5 | X > 13)

Q: The probability that a regularly scheduled flight departs on time is P(D) = 0.83, the probability…

A: 5) Given information: P(D)=0.83 P(A)=0.82 P(DA)=0.78 a. The probability that a plane arrives on time…

Q: A test was given to a group of students. The grades and gender are summarized below   A B C Total…

A: Given data;   A B C Total Male 18 11 8 37 Female 15 13 17 45 Total 33 24 25 82

Q: The random variable X has the probability function shown in Figure 1. (a) Determine if the random…

A: Given that The random variable X has the probability function shown in Figure 1.   (a) Determine if…

Q: Assume that when adults with smartphones are randomly selected,56​% use them in meetings or classes.…

A: Given,n=5p=0.56Let X=no.of adults use their smartphones in meeting or classesX~Binomial(n=5 ,…

Q: An urn consists of 3 green balls, 4 blue balls, and 6 red balls. In a random sample of 5 balls, find…

A: The provided information is as follows:The total number of green balls is .The total number of blue…

Q: The probability that a person in the United States has type B+ blood is 13%. Five unrelated people…

A:

Q: A report from the Department of Agriculture has shown that 35% of the produce in supermarkets has…

A: The sample size n is 12 and the proportion of pieces of the produce in supermarkets has been…

Q: Orders come into a pizza place by phone are either for cheese or pepperoni pizza. The time to…

A: Given that the mean time to process and cook a cheese pizza is 3 minutes, Rate parameter, μ=13 Then…

Q: A factory received a shipment of 11 capacitors, and the vendor who sold the items knows there are 3…

A: Introduction: Suppose X is the number of defective capacitors in the sample. It can be assumed that…

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.