3) A regulation basketball has a diameter of 9.4 inches. What is the volume of the ball?
1 answer:
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Answer:
Population Mean = 2.0
Population Standard deviation = 0.03
Step-by-step explanation:
We are given that the inspector selects simple random samples of 30 finished products and computes the sample mean product weight.
Also, test results over a long period of time show that 5% of the values are over 2.1 pounds and 5% are under 1.9 pounds.
Now, mean of the population is given the average of two extreme boundaries because mean lies exactly in the middle of the distribution.
So, Mean, =
= 2.0
Therefore, mean for the population of products produced with this process is 2.
Since, we are given that 5% of the values are under 1.9 pounds so we will calculate the z score value corresponding to a probability of 5% i.e.
z = -1.6449 {from z % table}
We know that z formula is given by ;
~ N(0,1)
-1.6449 = ⇒
⇒ 0.0608 *
{as sample size is given 30}
⇒ = 0.03 .
Therefore, Standard deviation for the population of products produced with this process is 0.0333.
Answer:
Step-by-step explanation:
Given
Number of Girls : 0 ----> 1 -----> 2 ------->3
Number of Families: 112 -> 314 --> 382 ---> 192
Solving (a): At most one girl
From the table, the number of families with at most one girl is: 112 + 314
i.e.
Number of Girls : 0 ----> 1
Number of Families: 112 -> 314
So, we have:
The probability is then calculated as:
Solving (b): More girls
From the table, the number of families with more girl is: 382 + 192
i.e.
Number of Girls : -----> 2 ------->3
Number of Families: --> 382 ---> 192
So, we have:
The probability is then calculated as: