The GPAs of all students enrolled at a large university have an approximately normal distribution with a mean of 3.02 and a standard deviation of .29.Find the probability that the mean GPA of a random sample of 20 students selected from this university is 3.10 or higher.

Answer:

0.10868

Step-by-step explanation:

Given that :

Mean (m) = 3.02

Standard deviation (s) = 0.29

Sample size (n) = 20

Probability of 3.10 GPA or higher

P(x ≥ 3.10)

Applying the relation to obtain the standardized score (Z) :

Z = (x - m) / s /√n

Z = (3.10 - 3.02) / 0.29 / √20

Z = 0.08 / 0.0648459

Z = 1.2336940

p(Z ≥ 1.2336) = 0.10868 ( Z probability calculator)

8 0

2 years ago

A spinner has the numbers 1-12 what is the probability of spinning a number less than or equal to 5

valkas [14]

Answer:

5/12

Step-by-step explanation:

Assuming the each number is equally likely

1,2,3,4,5,6,7,8,9,10,11,12

There are 12 numbers on the spinner

Number less than or equal to 5: 1,2,3,4,5

There are 5 choices

P ( # < = 5) = Number less than or equal to 5/ total

=5/12

5 0

2 years ago

I need help on math

Nataliya [291]

Well what do you want me to do about it because i can help

7 0

2 years ago

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