Determine the following probabilities. a. For n=5 and π=0.18​, what is P(X=0​)? b. For n=9 and π=0.40​, what is P(X=8​)? c. For n=9 and π=0.50​, what is P(X=7​)? d. For n=4 and π=0.87​, what is ​P(X=3​)? Show equations needed to solve

Q: If x is bin(n=5, P=0.3) then P(2)= Select one: a. 0.3087 b. 0.6013 c. 0.15 d. 0.2887 e. 0.3078

A: Given,n=5P=0.3P(X=x)=cxn px(1-p)n-x   ; x=0,1,2,....n

Q: Given P(E) = 0.34, P(F) = 0.36, and P(E and F) = 0.17, what is P(E or F)?

A: Solution: From the given information,

Q: Given P(E F)=0.68,P(F)=0.37 and P(E and F)=0.15 . what is P(E) ?

A: Given, P(E or F) = 0.68 P(F) = 0.37 P(E and F) = 0.15

Q: If P(- b < z < b) = 0.4726, find b. b=

A:

Q: P(z<2.25)=

A: Given Information: To find out Pz&lt;2.25

Q: Given that p(A)=.55, p(B)=.35, and p(A| B)=.85, find p(A and B).

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Assume P (A) = .68, P (B) = .45, and P (AN B) = .25. Find P ( An I (An).

A:

Q: The average weekly sales of 34 Costco warehouse last week was $3.69 million.  Assume the weekly…

A: we have given that  n=34 ,xbar=3.69 , sigma=0.65 and mu =3.9

Q: Starting at a fixed time, each car entering an intersection is observed to see whether it turns left…

A:

Q: If S = {a, b, c} with P(a) = 4P(b) = 3P(c), find P(a).

A:

Q: 9/State the Sufficient condition for the best apfraximation ant Prove t

A:

Q: If S = {a, b, c} with P(a) = 8P(b) = 2P(c), find P(a).

A:

Q: 1f. It has been reported that the first week in May NC has an average daily temperature of 88…

A: Average daily temperature of first week in May is 88 degrees. The first week had recorded…

Q: O o² is an interval estimator of . O is a point estimator of . Ο μ is a point estimator of z Oo is…

A: According to the given information in this question We need to identify the correct option

Q: if  Let P(C) = 0.2, Let P(D) = 0.3, Let P(C | D) = 0.4  how do you find P(D | C)

A:

Q: Given P(E)=0.49, P(F)=0.34,and P(E and F)=0.15, what is P(E or F)?

A: GivenP(E)=0.49P(F)=0.34P(E∩F)=0.15

Q: If P(A) = 0.73, P(A U B) = 0.88, and P(A n B) = 0.58, find P(B). O 0.15 0.26 0.58 0.73

A: P(A)=0.73P(AB)=0.88P(AB)=0.58

Q: P(1.15 < Z < 2.77) =

A: X~N( 0 , 1 )   μ=0 , ?=1 (for standard normal distribution)   Z-score =( x - μ )/?

Q: If S = {a, b, c} with P(a) = 8P(b) = 5P(c), find P(a).

A: Total probability:If a sample space contains mutually exclusive and exhaustive events, then the sum…

Q: If P(A) = 0.1, then (Ã) = 0.8 %3D True or False

A: let A is given any event then A¯ is complement event of A. given, P(A)=0.1

Q: 6. If P(A) = 23, find P(Ā).

A: Given that. P(A)=0.23

Q: Find the value of p: 1 2.9 = 1.2p + ¬p %3D 4

A: Solution:

Q: What is the value of Σ(X – 2 )2 for the following scores? Scores: 3,6,9.

A: The values of X are given by 3,6 and 9. We have to calculate Σ(X – 2 )2

Q: Suppose that X1, X2,... Xn are n values of a variable X and X is the arithmetic mean. Can we obtain…

A:

Q: Suppose ℙ(?1|?2)=0.46 P ( E 1 | E 2 ) = 0.46 , ℙ(?2|?1)=0.92 P ( E 2 | E 1 ) = 0.92 , and…

A: When the occurrence of one event depends on another, we use conditional probability. For example, we…

Q: 7. Given P(E or F) = 0.06, P(E) = 0.14, and P(F) = 0.34, what is P(E and F)?   Your Answer:

A:

Q: 3. A personal trainer claims that their exercise programme will lead to a re- duction in weight. The…

A: In order to determine whether the trainer's claim is valid or not, conduct a paired mean difference…

Q: 6. Given that P(A) =0.2, P(A and B) = 0.1 and P(A or B) = 0.6,

A: P(A)=0.2, P(A and B)=0.1 annd P(A or B)=0.6

Q: Suppose that for a certain data, the Z score of the median = + 2.0, the distribution of the data is:…

A: As the z-score of the median is positive, we can say that the median is greater than the mean

Q: A humane society claims that less than 72% of households in a certain country own a pet. In a random…

A:

Q: Find P(AUB), if the given are P(A)= 0.4, P(B) = 0.3

A: Given that  P(A) = 0.40 P(B) = 0.30 P(A∩B) is not given , Since events A and B are independent.   We…

Q: Given P(A) = 0.6 and P(A and B) = 0.2 and P(B) = 0.6, then P(A/B) = 0.3 0.3333333... 0.4…

A: Given P(A)=0.6, P(B)=0.6, P(A and B)=0.2

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.