If Z ~ N(0,1) what is P(-0.83 < Z < 1.06):

Q: Suppose X ~ t5, calculate P[–1.476 ≤ X ≤ 3.365]

A: Given that random variable X follows t distribution with degrees of freedom 5

Q: Find P (-1.5 < or equal to Z < 0.2) where Z ~ N (0,1)

A: We will use Standard Normal table to find the required probability.

Q: (c) P(\X| > 3) (d) P(|X – 5| > 3)

A: We have given that.   X~N( μ , ?^2 )   μ=5 , ? =1   Z-score =( x - μ )/?

Q: Suppose two cellphones are tested at random. We want to find out the number of defective cellphones…

A: Given information: There are 2 cellphones tested at random. D: The defective cellphones. N: The…

Q: Let X~N(10,9).

A: The mean of the distribution is 10. The standard deviation of the distribution is 9.

Q: what is the t test for the above

A: A t-test is not appropriate for testing the hypothesis of equal proportions among three independent…

Q: Match these values of r with the accompanying​ scatterplots: 0.762, −0.994​, 1, −1​, −0.404.

A:

Q: Find zo such that P(z>20 ) =0. 1234

A: We have given a standard normal distribution. We have to find the z-score corresponding to the…

Q: Let x be the number of teachers among 3 people selected randomly from a group  consisting of 3…

A: Probability: Probability is the ratio of favourable outcomes to all other potential outcomes of an…

Q: If X~t(10) then the p(x < 2.28)

A:

Q: what is M<E

A: Solution-As the solution is given,

Q: A. If X~N(196,20), find x such that Pr(X < x) = 0.945.

A:

Q: let x ~ N (10,2) Calculate P(x>10.5)

A: Given

Q: Use the Mean value Theorem to prove that 1/9 ≤ √66 - 8 ≤ 1/8

A: Use the Mean value Theorem to prove that

Q: Let X-N(65,36) P(x> 55) = O 0.5232 none O 0.9525 0.98077

A:

Q: Prop (1.23 ≤ x ≤ 1.72) = Prop (-2.50 ≤ x ≤ 0.5) = Prop (x ≥ 3.00)

A: here use normal distribution table

Q: 6. If X is t-distributed, show that X² is F-distributed.

A:

Q: Calculate P(z<-1.2)

A: The z-score is standard normal variable with mean 0 and standard deviation 1.

Q: Verify the mean value theorem for the function f (x) = /25 – 2 over -5, 3 and find all the possible…

A:

Q: Find the value for z if P( z < Z < 2.63) = 0.4392.

A: The question is about standard normal distributionIntroduction :1 ) Let, Z is standard normal random…

Q: Suppose that  |f′(x)|≤2021| for x∈(−1,1).  By use of the mean value theorem,  find an estimate of…

A: We have to find an estimate of  |f(x1)−f(x2)| for any x1 and x2 in  (−1,1).

Q: Suppose that Z~N(0,1). Then find Pr(2.78 < Z < 2.84)

A: Given data, Z~N(0,1) That is Mean=0 Standard deviation=1 P(2.78 &lt; Z &lt; 2.84)=?

Q: Suppose P(Xi=1)=pi=1-P(Xi=0),  i=1,2 if p1> p2 show that X1>( greater than equal to (st)) X2

A:

Q: If Z~N(0,1), then what is Pr(-0.09 < Z < 2.54)? You can use Excel. Enter your answer as a decimal…

A: We have to find given probability

Q: (h) P(1.26 ≤ Z ≤ 2.50) (1) P(1.90 ≤ Z) (1) P(|Z| ≤ 2.50)

A: It is given that the standard normal random variable Z with mean 0 and variance 1.   Note: The…

Q: If P(-a < z < a) = 0.4314, find a.

A: Given that, P(-a &lt; z &lt; a) = 0.4314  We to find the value of a

Q: Drample(2): Determine an even and odd permutations of P- (H W)

A:

Q: let XnN(20, 0136) iF P(X<M) = 0.05 then the value of mis

A:

Q: 5.07 Suppose X ~ uniform(1.0,5.0). Obtain P(X > 2.4 | X < 4).

A: X~U(1,5) P(X&gt;2.4/X&lt;=4)= ?

Q: Define f: N→ N by f(n) = 2". Find range(f).

A:

Q: 4(-1)" Σ 3) Estimate 2N 1 correct to one decimal place. N-1

A:

Q: P(- c ≤ Z ≤ c)=0.9399

A: We have given that  P(- c ≤ Z ≤ c)=0.9399 From the given information we have to find the value of c

Q: The t-table has entries for areas of 0.10, 0.05, 0.025, 0.01, and 0.005. In contrast, the ?2-table…

A: The t-table has entries for areas of 0.10, 0.05, 0.025, 0.01 and 0.005 and the χ2-table has entries…