Nisha collects comic books, and she convinced her friend Hakim to start collecting as well. Every week, they go to the store tog
ether, and they each buy a new comic book. This table shows how many books they each have:
1 answer:
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a) Probability of both being males is 27%
b) Probability of both being females is 23%
c) Probability of having exactly one male and one female is 50%
Step-by-step explanation:
a)
The probability that the birth is a male can be written as
(which corresponds to 52%)
While the probability that the birth is a female can be written as
(which corresponds to 48%)
Here we want to calculate the probability that over 2 births, both are male. Since the two births are two independent events (the probability of the 2nd to be a male does not depend on the fact that the 1st one is a male), then the probability of both being males is given by the product of the individual probabilities:
And substituting, we find
So, 27%.
b)
In this case, we want to find the probability that both children are female, so the probability
As in the previous case, the probability of the 2nd child to be a female is independent from whether the 1st one is a male or a female: therefore, we can apply the rule for independent events, and this means that the probability that both children are females is the product of the individual probability of a child being a female:
And substituting
We find:
Which means 23%.
c)
In this case, we want to find the probability they have exactly one male and exactly one female child. This is given by the sum of two probabilities:
- The probability that 1st child is a male and 2nd child is a female, namely
- The probability that 1st child is a female and 2nd child is a male, namely
So, this probability is
We have:
Therefore, this probability is
So, 50%.
Learn more about probabilities:
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Question 16
Given that two golfers completed one round of golf.
It is stated that the first golfer had a score of +6 and the second golfer had a score of -3.
- Let suppose 'x' be the number of shots the first golfer took.
It is clear that the first golfer is 6 over par, while the second golfer is under 3.
Thus, the equation becomes:
adding -3 to both sides
simplify
Thus, the second golfer has taken 9 more shorts.
Question 17
When we talk about credit, it means:
Credit = +
When we talk about debt, it means:
Debit = -
Thus,
Credit = +84
Debt = -29
Balance = 84 + (-29)
= 84 - 29
= 55
Thus, the balance is: 55
Answer:
z=3.8196
Step-by-step explanation:
-We notice that this is a normal distribution problem.
-Given the mean is $8500, standard deviation is $1200 , and n=350, the critical z-value using alpha=0.05 is calculated as:
Hence, the test statitic is z=3.8196