INSTRUCTIONS: Answer all the questions. Notes: a) Show all your steps/work for f

Question

INSTRUCTIONS: Answer all the questions. Notes: a) Show all your steps/work for full points. Take a picture or scan you and paste/attach to this assignment. b) Carry probabilities to at least 4 decimal places for intermediate ste c) Round your final answer to two or three decimal places. d) For extremely small probabilities, it is important to have 1 or two significant digits (non-zero digits), such as 0.000001 or 0.000034, . Suppose X N(275, 16) a) Find the P(X2294) (1 point) b) Find the P(255sXs297) (1 point) c) Find the 17th percentile of X (1 point) .3175

Explanation / Answer

Answer to the question is as follows:

1. N(275,16)

a. P(X>=294) = P(Z>= 294-275 / 16) = P(Z>= 19/16) = 0.117515228

b. P(255<=X<=297) = P(255-275/16 <=Z<= 297-275 / 16)

= P(-1.25<=Z<=1.375) = P(Z<=1.375) - P(Z<=-1.25)

= .915434-.10565

= .8098

c. P(X<c) = .17

(c-275)/(16) = -.955

c = 275 + 16*-.955

= 259.7200

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