Students in a class take a quiz with eight questions. The number x of questions answered correctly can be approximately by the following probability distribution. Complete parts (a) through (e) X      0       1      2       3      4      5      6      7       8 P(X) 0.04 0.01 0.06  0.08  0.13  0.25 0.21 0.14  0.08 (a) Use the probability distribution to find the mean of the probability distribution M=     (Round to the nearest tenth as needed (b) Use the probability distribution to find the variance of the probability distribution (Round to the nearest tenth as needed) (c) Use the probability distribution to find the standard deviation of the probability distribution (Round to the nearest tenth as needed) (d) Use the probability distribution to find the expected value of the probability distribution. (Round to the nearest tenth as needed) (e) Interpret the results.

Q: Determine the required value of the missing probability to make the distribution a discrete…

A: Given, X 3 4 5 6 P(X)  0.23 ?  0.45 0.11

Q: For the given probability distribution, find the missing value ?? x p(x) 0 0.03 1 0.34 2 0.27 3 ??

A: x p(x) 0 0.03 1 0.34 2 0.27 3 ? Conditions for the discrete probability distribution:…

Q: Ted is not particularly creative. He uses the pickup line​ "If I could rearrange the​ alphabet, I'd…

A: Given that  Probability distribution  X 1 2 3 4 5 P(X) 0.002 0.028 0.137 0.202 0.332   We…

Q: find the mean of this probability distribution, round your answer to one decimal place. X 0,1,2,3…

A: x P(X) x*P(x) 0 0.3 0 1 0.2 0.2 2 0.15 0.3 3 0.35 1.05     ∑x*P(x) = 1.55

Q: %23 The following table contains the probability distribution for the number of traffic accidents…

A: Given:     x    p(x)   0   0.28   1 0.31   2 0.17   3 0.09   4 0.07   5 0.05     6…

Q: Let x be the number of errors that appear on a randomly selected page of a book. The following table…

A: X p(X) X*p(X) X2*p(X) 0 0.73 0 0 1 0.16 0.16 0.16 2 0.06 0.12 0.24 3 0.04 0.12 0.36 4 0.01…

Q: A probability distribution for xx is given by the following table. x P(x) 0 0.1 1 0.2 2 0.05 3…

A: 0 0.1 0   1 0.2 0.2   2 0.05 0.1   3 0.65 1.95 Total     The expected value of…

Q: Use the probability distribution to complete parts (a) and (b) below. The number of defects per 1000…

A: Defects012345Probability0.2580.2890.2430.1520.0380.020

Q: The random variable x represents the number of tests that a patient entering a clinic will have…

A: According to the given information, we have x 0 1 2 3 4 P(x) 317 517 617 217 117

Q: from the probability distribution, find the mean and standard deviation for the random variable,…

A:

Q: Let X be the number of errors that appear on a randomly selected page of a book. The following table…

A: Since, the sum of all probabilities of a distribution is always equal to 1. That means ∑P(x) = 1 The…

Q: Find the mean of the given probability distribution. x P(x) 0 0.11 1 0.26 2 0.35 3 0.21 4 0.07 1.87…

A: x p(x) x*p(x) 0 0.11 0 1 0.26 0.26 2 0.35 0.70 3 0.21 0.63 4 0.07 0.28     Σx*p(x) =…

Q: Use the probability distribution to complete parts (a) and (b) below. The number of school-related…

A: Suppose  be the number of school-related extracurricular activities per student.The probability…

Q: Consider the discrete probability distribution given when answering the following question. Find the…

A: Given information: The following probability distribution table is provided: x 3 5 6 8 P(x)…

Q: P(4) = (Type an integer or a decimal.)

A:

Q: A data scientist tracked how many cups of coffee she drank every day at work over the course of a…

A:

Q: Determine the required value of the missing probability to make the distribution a discrete…

A: We know that, for a discrete probability distributionThe sum of probability at all different…

Q: Find the mean and standard deviation of this probability distribution. x� P(x)�(�) 2 0.3 5 0.1 7…

A: The probability distribution is given.

Q: Determine the required value of the missing probability to make the distribution a discrete…

A: Answer:- Given, Discrete probability distribution table is,  x P(x) 3 0.22 4 ? 5 0.31 6…

Q: P(X) 0.2 1 0.25 2 0.2 3 0.35 Find the mean of this probability distribution. Round your answer to…

A:

Q: Find the variance for the given probability distribution. x P(x) 0 0.37 1 0.13 2 0.06 3 0.15 4 0.29…

A:

Q: The random variable X is the number of color television sets owned by a randomly selected household…

A: (a) The mean is 1.276. (b) The standard deviation is 1.263. (c) The probability histogram is option…

Q: Determine the required value of the missing probability to make the distribution a discrete…

A: By using the given information, we have The probability distribution table is, x P(x) 3 0.27…

Q: A survey asked 863 people how many times per week they dine out at a restaurant. Consider the 863…

A:

Q: Fill in the P(X=x) values to give a legitimate probability distribution for the discrete random…

A: The table shows discrete random variable values with their probability values.

Q: The data given below show the number of overtime hours worked in one week per employee. Use the data…

A: Find pmf and shape of the distribution.

Q: 1 3 P(X = x) 0.4 0.1 0.3 0.2

A: Given that  Probability distribution  X 0 1 2 3 P(X=x) 0.4 0.1 0.3 0.2

Q: Determine the required value of the missing probability to make the distribution a discrete…

A:

Q: The random variable X represents the number of tests that a patient entering a hospital has. Find…

A: The question is about discrete prob. dist. Given :

Q: Find the value of the following Poisson probability distribution. Leave the answer as a number…

A:

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.