Find the measure of the indicated angle. Round to the nearest tenth of a degree.
1 answer:
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Answer:
(a) (b)
Step-by-step explanation:
GIVEN: Suppose that two cards are randomly selected from a standard card deck.
TO FIND: (a) What is the probability that the first card is a club and the second card is a club if the sampling is done without replacement? (b) What is the probability that the first card is a club and the second card is a club if the sampling is done with replacement.
SOLUTION:
(a)
Probability that first card is club
As sampling is done without replacement.
probability that second card is club
Probability that first card is club and second card is club
(b)
Probability that first card is club
As sampling is done with replacement.
probability that second card is club
Probability that first card is club and second card is club
Answer:
a)There is a 4.88% probability that none is concerned that employers are monitoring phone calls.
b)There is a 7.89% probability that all are concerned that employers are monitoring phone calls.
c)There is a 37.23% probability that exactly two are concerned that employers are monitoring phone calls.
Step-by-step explanation:
The binomial probability is the probability of exactly x successes on n repeated trials in an experiment which has two possible outcomes (commonly called a binomial experiment).
It is given by the following formula:
In which is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And p is the probability of a success.
In this problem, a success is being concerned that employers are monitoring phone calls.
53% of adults are concerned that employers are monitoring phone calls, so
(a) Out of four adults, none is concerned that employers are monitoring phone calls.
Four adults, so .
Is the probability of 0 successes, so x = 0.
There is a 4.88% probability that none is concerned that employers are monitoring phone calls.
(b) Out of four adults, all are concerned that employers are monitoring phone calls.
Four adults, so .
Is the probability of 4 successes, so x = 4.
There is a 7.89% probability that all are concerned that employers are monitoring phone calls.
(c) Out of four adults, exactly two are concerned that employers are monitoring phone calls.
Four adults, so .
Is the probability of 4 successes, so x = 2.
There is a 37.23% probability that exactly two are concerned that employers are monitoring phone calls.