The area to the right of z = 1.35 is 0.0885 and the area to the left of -0.47 is 0.3192.
<h3>How to compute the values?.</h3>Given z = 1.35
= 1- P(z < 1.35)
= 1- 0.9115
= 0.0885
The area to the left of -0.47 will be:
= 1 - P(z < 0.47)
= 1 - 0.6808
= 0.3192
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Answer:
The function represents the height of the water in the bucket
Step-by-step explanation:
Given
Required
State what the function represents
From the question, we understand that t represents the time spent while the function illustrates the water level in the bucket.
This implies that f(t) calculates the height of the water in the bucket, given the value of time (t)
Answer:
(a) Probability that a randomly chosen item is defective and cannot be repaired is 8%.
(b) Probability that exactly 2 of 20 randomly chosen items are defective and cannot be repaired is 0.2711.
Step-by-step explanation:
We are given that of the items manufactured by a certain process, 20% are defective. Of the defective items, 60% can be repaired.
Let Probability that item are defective = P(D) = 0.20
Also, R = event of item being repaired
Probability of items being repaired from the given defective items = P(R/D) = 0.60
<em>So, Probability of items not being repaired from the given defective items = P(R'/D) = 1 - P(R/D) = 1 - 0.60 = 0.40 </em>
(a) Probability that a randomly chosen item is defective and cannot be repaired = Probability of items being defective Probability of items not being repaired from the given defective items
= 0.20 0.40 = 0.08 or 8%
So, probability that a randomly chosen item is defective and cannot be repaired is 8%.
(b) Now we have to find the probability that exactly 2 of 20 randomly chosen items are defective and cannot be repaired.
The above situation can be represented through Binomial distribution;
where, n = number of trials (samples) taken = 20 items
r = number of success = exactly 2
p = probability of success which in our question is % of randomly
chosen item to be defective and cannot be repaired, i.e; 8%
<em>LET X = Number of items that are defective and cannot be repaired</em>
So, it means X ~
Now, Probability that exactly 2 of 20 randomly chosen items are defective and cannot be repaired is given by = P(X = 2)
P(X = 2) =
=
= 0.2711
<em>Therefore, probability that exactly 2 of 20 randomly chosen items are defective and cannot be repaired is </em><em>0.2711.</em>