Assume that x has a normal distribution. the mean is muμequals=137.0 and the standard deviation is sigmaσequals=5.3. find the probability that x is between 134.4 and 140.1.

X follows normal distribution with mean μ =137 and standard deviation σ =5.3

We have to find here probability that x is between 134.4 and 140.1

P(134.4 < X < 140.1) = P(X < 140.1) - P(X < 134.4)

To find probability first we have to convert x value into z score values using formula

Z =

For x =140.1 z score value is

Z =

Z = 0.5849 ~ 0.0.58

Hence P(X < 140.1) = P(Z < 0.58)

Now z score for x= 134.4

Z =

Z = -0.49

P(X < 134.4) = P(Z < -0.49)

Hence the above probability setup becomes

P(134.4 < X < 140.1) = P(X < 140.1) - P(X < 134.4)

= P(Z < 0.58) - P(Z < -0.49)

Using z score table to find probability corresponding to z= 0.58 and z=-0.49 we get

P(Z < 0.58) = 0.719

P(Z < -0.49) = 0.3121

Using these probabilities into above equation

P(134.4 < X < 140.1) = P(Z < 0.58) - P(Z < -0.49)

= 0.719 - 0.3121

P(134.4 < X < 140.1) = 0.4069

The probability that x is between 134.4 and 140.1 is 0.4069

$450 is the answer.

step-by-step explanation:

30% of 450 = 135

450-135=315

at first, in 1635, the evening meetings had been just for women . .

what relationship between ideas is shown in the text above?

question 1 options:

location of events

similarity of events

timing of events

examples of an idea

step-by-step explanation: