Let X represent the time it takes from when someone enters the line for a roller coaster until they exit on the other side. Consider the probability model defined by the cumulative distribution function given below.

0 x < 3
F(x) = (x-3)/1.13 3 < x < 4.13
1 x > 4.13

What is E(X)? Give your answer to three decimal places.

What is the value c such that P(X < c) = 0.75? Give your answer to four decimal places.

What is the probability that X falls within 0.28 minutes of its mean? Give your answer to four decimal places.

E(X) = 3.565

c = 3.8475

0.4955

Step-by-step explanation:

The given cumulative distribution function is  

F(x)= 0 for x < 3

F(x) = (x-3)/1.13 for 3 < x < 4.13

F(x) = 1 for x > 4.13

What is E(X)? Give your answer to three decimal places

E(X) = (a + b)/2

E(X) = (3 + 4.13)/2

E(X) = 3.565

What is the value c such that P(X < c) = 0.75? Give your answer to four decimal places.

P( X < c) = (c-3)/1.13 = 0.75

c-3 = 0.75*1.13

c = 3 + 0.75*1.13

c = 3.8475

What is the probability that X falls within 0.28 minutes of its mean? Give your answer to four decimal places.

P( 3.565 - 0.28 < X < 3.565 + 0.28)

F(3.565 + 0.28) - F(3.565 - 0.28)

(3.845-3)/1.13 - (3.285-3)/1.13

0.7477 - 0.2522

0.4955

Hence there is 49.55% probability that X will fall within 0.28 minutes of its mean

answer: a. 13/44

step-by-step explanation: judging by the information given to us, we are looking for experimental probability. we can see that 13 males have chosen chocolate ice cream. there are 44 ice creams in total (remember that the total is always the denominator). so our answer is 13/44.

60°

step-by-step explanation:

the measure angle of c in an isosceles triangle abc is 60° because in isosceles triangle,the measures of all the angles is 60°.