Answer:
sx
Step-by-step explanation:
Answer:
a) 20.16; b) 20.49 and 21.51
Step-by-step explanation:
We use z scores for each of these. The formula for a z score is
.
For part a, we want the 20th percentile; this means we want 20% of the data to be lower than this. We find the value in the cells of the z table that are the closest to 0.20 as we can get; this is 0.2005, which corresponds with a z score of -0.84.
Using this, 21 as the mean and 1 as the standard deviation,
-0.84 = (X-21)/1
-0.84 = X-21
Add 21 to each side:
-0.84+21 = X-21+21
20.16 = X
For part b, we want the middle 39%. This means we want 39/2 = 19.5% above the mean and 19.5% below the mean; this means we want
50-19.5 = 30.5% = 0.305 and
50+19.5 = 69.5% = 0.695.
Looking these values up in the cells of the z table, we find those exact values; 0.305 corresponds with z = -0.51 and 0.695 corresponds with z = 0.51:
-0.51 = (X-21)/1
-0.51 = X-21
Add 21 to each side:
-0.51+21 = X-21+21
20.49 = X
0.51 = (X-21)/1
0.51 = X-21
Add 21 to each side:
0.51+21 = X-21+21
21.51 = X
The answer is 6
hope this helps!
The probability that a biscuit picked at random contains chocolate
chips. = 1/5 , The Venn Diagram is attached with the answer.
<h3>What is Probability ?</h3>
Probability is defined as the study of likeliness of an event to happen.
It is given that
There are 30 biscuits in a tin
8 of the biscuits are iced, of which 6 contain chocolate chips
4 biscuits are neither iced nor contain chocolate chips.
the probability that a biscuit picked at random contains chocolate
chips.
There are total 6 biscuits which have chocolate chips
The probability that a biscuit picked at random contains chocolate
chips. = 6/8 *8/30 = 6/30 = 1/5
The probability that a biscuit picked at random contains chocolate
chips. = 1/5
The Venn Diagram is attached with the answer.
To know more about Probability
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