A. Given the discrete probability distribution of a certain experiment, answer the following questions. 1 3 4 10 Probability P(X = x) 0.30 0.20 0.10 0.15 0.25

Q: HW6 Proue →1<a = | <aca

A: We have to prove that  For all a &gt; 1, we always have 1 &lt; a &lt; a2 .

Q: When P(w) = 9w² + lw + 3, evaluate P( – 5) P( – 5) =

A: We have p(w), so to find p(—5) put w=—5 in the expression of p(w)

Q: 2y-x≤1

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Q: 3. Determine m < 0 10 24 17 B.

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Q: p(z < 1.29)

A: standard normal distribution Z~N(0,1) P(z&lt;1.29) = ?

Q: These answers were not correct.   n p0 * (1 - p0 ) = 165.5 ≥ 10 --- greater than or less than was…

A: Given that  Population proportion =0.48 Sample size=800 Level of significance =0.01 We have to find…

Q: C= {z | z≥4} D={z|z<7}

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Q: Z is N(0, 1), find values of c P(-0.91 ≤  Z ≤ c) = 0.8124. b. P(-c≤Z ≤ c) = 0.8686

A: Use EXCEL Procedure for finding the critical value of z to the left of its area.   Follow the…

Q: In each of the following cases, determine whether the sample size n is large enough to use the large…

A: (a)  p^=0.1, n=30 (b)p^=0.1,n=100 (C)p^=0.5, n=50

Q: How to read {? ∈ ℝ+| 0 < ? < 1} in words

A: {x ∈ ℝ+| 0 &lt; x &lt; 1} can be written in words as : x is a positive real number such that ...

Q: It is given that X~N( 30, 5). Find P(27<X<33)

A:

Q: Suppose P(A) = 0.4 and P(B) and B, show that 0.1 ≤ P(An B) ≤ 0.4. = 0.7. With no other assumptions…

A: We have given thatP(A) = 0.4P(B) = 0.7We have to show that0.1 ≤ P(AB) ≤ 0.4

Q: 3. There are one hundred tickets in a box, numbered from 1 to 100. Draw once from the box. a. Is…

A: Define the events, A : The number is even B : The number is less or equal to 30 There are 1 to 100…

Q: The smaller a p-value is, the stronger it is against H.. O True O False

A: p value is the probability value which one is calculated under the test statistic.

Q: It is given that X~N(30,5). Find P(27<X<33)

A: Given : X~N(30,5)

Q: P (Z<1.8572)

A: Answer - Find   P (Z&lt;1.8572)

Q: Cookies have to be in the oven between 8 and 12 minutes and brownies have to be in the oven between…

A: To Determine: when both are in the oven at the same time? Given: cookies have to be oven between 8…

Q: P(X) = 0.62, P(Y) = 0.28, P(X and Y) = 0.16. Find P(not YIX). O none of the above 0.4129 0.5714…

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Q: f(x) = √(1-x)² jo 0 Find the value of c. 0 ≤ x ≤ 1 otherwise

A:

Q: For the signal below, sketch the following signals O (g) (4-t) (h) x(1/4) -t -2≤t≤0 0≤t≤4 otherwise…

A:

Q: If X: N(132,100) find P(122<X<142)

A: Given : X follows a Normal distribution  with Mean  = 132 Variance  = 100 Standard deviation  = √…

Q: Q21 If that p(An B) = 0.4 , P(A) = 0.5 and p( B) = 0.8 Then P( A u B) = 0.9 * True

A: Given information: PA∩B=0.4PA=0.5PB=0.8

Q: This question is done incorrectly. P(x≥3).  P(x≤2) P(X=6). These are x values given not x>3, or x<2.…

A: Let be a random variable that possesses a binomial distribution with p= 0.6 and n=13  We have to…

Q: X       P(X=x) 2         0,10 3         0,20 4         0,30 5         0,40   P(3 ≤  X  ≤4 )= ???

A: Given, The probability distribution of X is: X 2 3 4 5 P(X=x) 0.10 0.20 0.30 0.40

Q: P(X ≤ 1). n = 5, p = 0.6

A:

Q: P(z ≤ 2.37)

A:

Q: 8x What are possible values of x in inequality < 6?

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Q: enter the inequailty x is lessthan equal too -5

A: Given:Enter the inequality x is less than equal to -5

Q: B Given that p(A| B)=0, and p(A)=.15, are A and B (a) independent? (b) exclusive?

A: Ans#- Given, P(A | B) = 0, and P(A) = 0.15.            Are A and B        (a) Independent?…

Q: In the experiment of tussing a fair cin randam variable giving x is the randam 3 times the number of…

A:

Q: P(A) = 0.5, P(B) = 0.3, P(A ∩ B)= 0.1 a) Find P(A given B).   b) P(B|A)

A: As per given by the question, there are P(A) = 0.5, P(B) = 0.3,and P(A ∩ B)= 0.1., then find PA…

Q: Given that P(A UB) = 0.76 P(AnB) = 0.36 P(ANB) 0.26 Find P(B|A) O 0.24 O 0.28 O 0.35 O 0.86

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Q: ccording to a​ study, 58​% of all males between the ages of 18 and 24 live at home. ​ (Unmarried…

A: n = 226 x= 152 p = 0.58

Q: If x is N(0,2) find (a) P{1£x£2} and (b) P{1£x£2x³1}

A: Given that,  X~ N(0,2)  Where, mean of x= 0  Standard deviation of x= 2 We know that, z-score=…

Q: 1) Find P(Z -.78)

A:

Q: p(x ≥ 3) is incorrect the response is not o.9922 p(x ≤ 2) is not correct  P(x = 6) is incorrect

A: A random variable follows binomial distribution with p= 0.6 and n=13.