Can someone help me please :(
1 answer:
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Complete Question:
An urn contains seven red and five white balls. Four balls are randomly drawn from the urn in succession with replacement. That is after each drawn the selected ball is returned to the urn. What is the probability that four balls drawn from the urn are white?
Answer:
The probability of drawing four white balls is 0.03014
Step-by-step explanation:
Given;
7 red balls
5 white balls
total number of balls = 7 + 5 = 12
each time a white ball is drawn, the probability = 5 / 12
The probability of drawing four white balls is given by;
P= P(1st white AND 2nd white AND 3rd white AND 4th white)
P = P(1 st white) x P(2nd white) x P(3rd white) x P(4th white)
P = (5 / 12) x (5 / 12) x (5 / 12) x (5 / 12) (with replacement)
Therefore, the probability of drawing four white balls is 0.03014
Answer:
No, there is not sufficient evidence to support the claim that the bags are underfilled
Step-by-step explanation:
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting.
This means that the null hypothesis is:
It is believed that the machine is underfilling the bags.
This means that the alternate hypothesis is:
The test statistic is:
In which X is the sample mean, is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
434 is tested at the null hypothesis:
This means that
A 9 bag sample had a mean of 431 grams with a variance of 144.
This means that
Value of the test-statistic:
P-value of the test:
The pvalue of the test is the pvalue of z = -0.75, which is 0.2266
0.2266 > 0.01, which means that there is not sufficient evidence to support the claim that the bags are underfilled.