Question

In: Statistics and Probability

P(0<z<1.77)=

P(0<z<1.77)=

Solutions

Expert Solution

Solution:

We have to find:

P(0 < z < 1.77)=...........?

P(0 < z < 1.77)= P( z < 1.77) - P( Z< 0)

Look in z table for z = 1.7 and 0.07 as well as for z = 0.0 and 0.00 and find corresponding area.

P( Z< 1.77 ) = 0.9616

and

P( Z < 0.00) = 0.5000

thus

P(0 < z < 1.77) = P( z < 1.77) - P( Z< 0)

P(0 < z < 1.77) = 0.9616 - 0.5000

P(0 < z < 1.77) = 0.4616


Related Solutions

For Exercises find the area under the standard normal distribution curve. Between z = 0 and z = 1.77
For Exercises find the area under the standard normal distribution curve.Between z = 0 and z = 1.77
find the probabilities for each using the standard normal distribution. p(0<z<0.95), p(0<z<1.96), p(-1.38<z<0), p(z>2.33), p(z<-1.51), p(1.56<z<2.13),...
find the probabilities for each using the standard normal distribution. p(0<z<0.95), p(0<z<1.96), p(-1.38<z<0), p(z>2.33), p(z<-1.51), p(1.56<z<2.13), p(z<1.42)
QUESTION 1 If Z is a standard normal random variable, then P(Z > 0) =   0...
QUESTION 1 If Z is a standard normal random variable, then P(Z > 0) =   0 1 0.4579 0.5 1 points    QUESTION 2 Company A claims that 20% of people in Sydney prefer its product (Brand A). Company B disputes the 20% but has no idea whether a higher or lower proportion is appropriate.  Company B randomly samples 400 people and 88 of them prefer Company A's product (Brand A). Assuming a 5% significance level, which one of the following...
please be very specific on showing work done!! If Z∼N(μ=0,σ2=1)Z∼N(μ=0,σ2=1), find the following probabilities: P(Z<1.58)=P(Z<1.58)= P(Z=1.58)=P(Z=1.58)=...
please be very specific on showing work done!! If Z∼N(μ=0,σ2=1)Z∼N(μ=0,σ2=1), find the following probabilities: P(Z<1.58)=P(Z<1.58)= P(Z=1.58)=P(Z=1.58)= P(Z>−.27)=P(Z>−.27)= P(−1.97<Z<2.46)=
let R = Z x Z. P be the prime ideal {0} x Z and S...
let R = Z x Z. P be the prime ideal {0} x Z and S = R - P. Prove that S^-1R is isomorphic to Q.
#65 Suppose Z ~ N(0, 1), and P(Z < z) = 0.9750. Find z. Enter your...
#65 Suppose Z ~ N(0, 1), and P(Z < z) = 0.9750. Find z. Enter your exact value from Table A4. If you use Excel instead, enter your value rounded to 2 decimal places #89 Suppose X ~ N(10, 2), and P(X < x) = 0.5. Find x. Enter your exact numerical value. #90 Suppose X ~ N(11, 4). Find P(X > 3). Round your answer to 4 decimal places. #60 Suppose X ~ N(100, 2). Find P(X < 98)....
Let z be a random variable with a standard normal distribution. Find P(0 ≤ z ≤...
Let z be a random variable with a standard normal distribution. Find P(0 ≤ z ≤ 0.46), and shade the corresponding area under the standard normal curve. (Use 4 decimal places.)
Find the probability of each of the following, if Z~N(μ = 0,σ = 1). a) P(Z...
Find the probability of each of the following, if Z~N(μ = 0,σ = 1). a) P(Z < -1.88) b) P(Z > 1.51) = c) P(-0.61 < Z < 1.54) = d) P(| Z | >1.78) = e)  P(Z < -1.27) = f) P(Z > 1.02) = g) P(-0.69 < Z < 1.78) = h) P(| Z | >1.86) =
P(z ≥ −1.26) P(−1.23 ≤ z ≤ 2.64) P(−2.18 ≤ z ≤ 0.96) P(−0.83 ≤ z...
P(z ≥ −1.26) P(−1.23 ≤ z ≤ 2.64) P(−2.18 ≤ z ≤ 0.96) P(−0.83 ≤ z ≤ 0)
use the standard normal distrubution to find P(-2.25 < z < 0)
use the standard normal distrubution to find P(-2.25 < z < 0)
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT