Figures ABCD and PQRS are parallelogram find x and y (lengths are in metres) Part i and ii.
1 answer:
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Answer:
0.0782 (7.82%)
Step-by-step explanation:
The required probability will be found by using the Binomial Distribution which fits the case of n independent events each with a probability of success equal to p with k successes.
The PMF (Probability Mass Function) is
Where
LabTech states that the probability that a microscope is defective is 0.17%, p=0.0017, q=0.9983. We need to know the probability that k=1 microscope is defective out of a set of n=50 of them. We now apply the formula
Which means that there is a 7.82% of probability to get 1 defective microscope out of the first 50
Answer:
a) We want to test the claim that 35% of adults have heard of the new electronic reader, then the system of hypothesis are.:
Null hypothesis:
Alternative hypothesis:
And is a two tailed test
b)
c)
d) Null hypothesis:
e) Fail to reject the null hypothesis because the P-value is greater than the significance level, alpha.
Step-by-step explanation:
Information provided
n=1562 represent the random sample selected
X=522 represent the people who have heard of a new electronic reader
estimated proportion of people who have heard of a new electronic reader
is the value to verify
represent the significance level
z would represent the statistic
represent the p value
Part a
We want to test the claim that 35% of adults have heard of the new electronic reader, then the system of hypothesis are.:
Null hypothesis:
Alternative hypothesis:
And is a two tailed test
Part b
The statistic for this case is given :
(1)
Replacing the info given we got:
Part c
We can calculate the p value using the laternative hypothesis with the following probability:
Part d
The null hypothesis for this case would be:
Null hypothesis:
Part e
The best conclusion for this case would be:
Fail to reject the null hypothesis because the P-value is greater than the significance level, alpha.