TOPIC:Normal distribution and probabilities.
Find the value 2* that satisfies each of the following probabilities for a standard normal random...
2. Find the value of c that satisfies each of the following probabilities for a standard normal random variable 2: (a) p(z <c) = 0.975 (b) p(-c<z<c) = 0.95
1) Let Z be the standard normal variable. Find the values of z if z satisfies the given probabilities. (Round your answers to two decimal places.) (a) P(Z > z) = 0.9706 z = ? P(−z < Z < z) = 0.8164 z = ? 2) Suppose X is a normal random variable with μ = 350 and σ = 20. Find the values of the following probabilities. (Round your answers to four decimal places.) (a) P(X < 405) = (b) P(370...
Find the following probabilities based on the standard normal variable Z. (You may find it useful to reference the z table. Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 4 decimal places.) Find the following probabilities based on the standard normal variable Z. (You may find it useful to reference the z table. Leave no cells blank - be certain to enter "O" wherever required. Round your answers to 4 decimal places.)...
2. Given that z is a standard normal random variable, compute the following probabilities. P(-1 ≤ z ≤ 0) (Round to four decimal places) Answer P(-1.5 ≤ z ≤ 0) (Round to four decimal places) Answer P(-2 < z < 0) (Round to four decimal places) Answer P(-2.5 < z < 0) (Round to four decimal places) Answer P(-3 ≤ z ≤ 0) (Round to four decimal places) 3. Given that z is a standard normal random variable, compute the...
9. Compute the following probabilities using your calculator. Assume Z is a standard normal random variable. Round all answers to three decimal places. A. P(0<Z<2.3)P(0<Z<2.3)= B. P(−1.7<Z<0.15)P(−1.7<Z<0.15)= C. P(Z>−1.2)P(Z>−1.2)= 10. Find the following probabilities for the standard normal random variable zz: Round answers to three decimal places. (a) P(z≤1.31)=P(z≤1.31)= (b) P(z>−0.25)=P(z>−0.25)=
Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wherever appropriate. (Round your answers to four decimal places.) (a) PlOsZs 2.64) (b) POs Zs2) (c) PI-2.20 sZso) (d) P-2.20 s Zs 2.20) (e) PIZs 1.39) O P-1.35s (g) P-1.20 s Zs2.00) (h) P1.39 sZs2.50) O)P1.20 s2 0) PIZ s2.50)
Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wherever appropriate. (Round your answers to four decimal places.) (a) P(O SZS2.58) (b) PO Szs 1 (c)P-2.10 Zs o) (d) バー2.10 i 2.10) (e) P(Z 1.32) (f) P(-1.55 s Z) 9) P-1.10 s Z s 2.00) (h) P(1.32S Zs 2.50) O) P1.10 sz) (j) P(İZİS 2.50)
Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wherever appropriate. (Round your answers to four decimal places.) (a) PO S Z 2.76) (b) PIO S Zs 2) (c) P-2.30s ZS 0) d) P-2.30 S Z s 2.30) (e) P(Z 1.98) (D) P(-1.6s s z) (9) P-1.30 s Z s 2.00) (h) P(1.98 s z s 2.50) O P(1.30 sz) (j) PIZl s 2.50)
Use Table A to find the value z of a standard Normal variable that satisfies each of the following conditions. Use the value of z from Table A that comes closest to satisfying the condition. In each case, sketch a standard Normal curve with your value of z marked on the axis. (a) Find the point z with 68% of the observations falling below it. Enter your answer rounded to two decimal places. (b) Find the point z with 19%...
Use Table A to find the value z of a standard Normal variable that satisfies each of the following conditions. Use the value of z from Table A that comes closest to satisfying the condition. In each case, sketch a standard Normal curve with your value of z marked on the axis. (a) Find the point z with 68% of the observations falling below it. Enter your answer rounded to two decimal places. (b) Find the point z with 23%...