Quadrilateral ABCD is inscribed in circle P as shown. Which statement is necessarily true?
1 answer:
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You want to find ; that is, given that you randomly choose from the pool of women, the probability that she does not exercise.
By definition of conditional probability,
496 of the total 1026 people are woman, and 341 of the 1026 people are women and do not exercise, so
A simpler way of doing this is to look at what's called the marginal distribution of women in the table. Basically this comes down to ignoring all but the data pertaining to the women. There's a total of 496 women, and 341 of them do not exercise. So the probability that a given woman does not exercise is 341/496.
Answer:
Step-by-step explanation:
information given
represent the sample mean
represent the population standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
z would represent the statistic
represent the p value for the test
Hypothesis to test
We want to test if the true mean is less than 12, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info given we got:
We can replace in formula (1) the info given like this:
Answer:
0.9375 = 93.75% probability that at least one of the four children is a girl.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
We have the following sample space
In which b means boy, g means girl
b - b - b - b
b - b - b - g
b - b - g - b
b - b - g - g
b - g - b - b
b - g - b - g
b - g - g - b
b - g - g - g
g - b - b - b
g - b - b - g
g - b - g - b
g - b - g - g
g - g - b - b
g - g - b - g
g - g - g - b
g - g - g - g
Total outcomes
There are 16 total outcomes(size of the sample space)
Desired outcomes
Of these outcomes, only 1(b - b - b - b) there is not a girl.
So the number of desired outcomes is 15.
Probability:
0.9375 = 93.75% probability that at least one of the four children is a girl.