Whats 5 plus 39 minus 44
2 answers:
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Answer:
(a) The correct answer is P (CBM) = 0.79.
(b) The probability of selecting an American female who is not red-green color-blind is 0.996.
(c) The probability that neither are red-green color-blind is 0.9263.
(d) The probability that at least one of them is red-green color-blind is 0.0737.
Step-by-step explanation:
The variables CBM and CBW are denoted as the events that an American man or an American woman is colorblind, respectively.
It is provided that 79% of men and 0.4% of women are colorblind, i.e.
P (CBM) = 0.79
P (CBW) = 0.004
(a)
The probability of selecting an American male who is red-green color-blind is, 0.79.
Thus, the correct answer is P (CBM) = 0.79.
(b)
The probability of the complement of an event is the probability of that event not happening.
Then,
P(not CBW) = 1 - P(CBW)
= 1 - 0.004
= 0.996.
Thus, the probability of selecting an American female who is not red-green color-blind is 0.996.
(c)
The probability the woman is not colorblind is 0.996.
The probability that the man is not color- blind is,
P(not CBM) = 1 - P(CBM)
= 1 - 0.004
= 0.93.
The man and woman are selected independently.
Compute the probability that neither are red-green color-blind as follows:
Thus, the probability that neither are red-green color-blind is 0.9263.
(d)
It is provided that a one man and one woman are selected at random.
The event that “At least one is colorblind” is the complement of part (d) that “Neither is Colorblind.”
Compute the probability that at least one of them is red-green color-blind as follows:
Thus, the probability that at least one of them is red-green color-blind is 0.0737.
Answer:
p ( x > 2746 ) = p ( z > - 1.4552 )
= 1 - 0.072806
= 0.9272
This shows that there is > 92% of a republican candidate winning the election hence I will advice Gallup to declare the Republican candidate winner
Step-by-step explanation:
Given data:
51% of male voters preferred a Republican candidate
sample size = 5490
To win the vote one needs ≈ 2746 votes
In order to advice Gallup appropriately lets consider this as a binomial distribution
n = 5490
p = 0.51
q = 1 - 0.51 = 0.49
Hence > 5 while
< 5
we will consider it as a normal distribution
From the question :
number of male voters who prefer republican candidate ( mean ) ( u )
= 0.51 * 5490 = 2799.9
std = =
= 37.0399 ---- ( 1 )
determine the Z-score = (x - u ) / std ---- ( 2 )
x = 2746 , u = 2799.9 , std = 37.0399
hence Z - score = - 1.4552
hence
p ( x > 2746 ) = p ( z > - 1.4552 )
= 1 - 0.072806
= 0.9272
This shows that there is > 92% of a republican candidate winning the election hence I will advice Gallup to declare the Republican candidate winner