Jordan went shopping last weekend and bought a pair of shoes. The shoes were originally priced at $124.00, but are now on sale f
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Answer:
0.3009 is the probability that the applicant has graduate degree given he is a male.
Step-by-step explanation:
We are given he following in the question:
M: Applicant is male.
G: Applicant have a graduate degree
Total number of applicants = 450
Number of male applicants = 206
Number of applicants that are male and have a graduate degree = 62
We have to find the probability that the applicant has graduate degree given he is a male.
Thus, 0.3009 is the probability that the applicant has graduate degree given he is a male.
Answer:
(a) There are 70 different ways set up 4 computers out of 8.
(b) The probability that exactly three of the selected computers are desktops is 0.305.
(c) The probability that at least three of the selected computers are desktops is 0.401.
Step-by-step explanation:
Of the 9 new computers 4 are laptops and 5 are desktop.
Let X = a laptop is selected and Y = a desktop is selected.
The probability of selecting a laptop is =
The probability of selecting a desktop is =
Then both X and Y follows Binomial distribution.
The probability function of a binomial distribution is:
(a)
Combination is used to determine the number of ways to select <em>k</em> objects from <em>n</em> distinct objects without replacement.
It is denotes as:
In this case 4 computers are to selected of 8 to be set up. Since there cannot be replacement, i.e. we cannot set up one computer twice or thrice, use combinations to determine the number of ways to set up 4 computers of 8.
The number of ways to set up 4 computers of 8 is:
Thus, there are 70 different ways set up 4 computers out of 8.
(b)
It is provided that 4 computers are randomly selected.
Compute the probability that exactly 3 of the 4 computers selected are desktops as follows:
Thus, the probability that exactly three of the selected computers are desktops is 0.305.
(c)
Compute the probability that of the 4 computers selected at least 3 are desktops as follows:
Thus, the probability that at least three of the selected computers are desktops is 0.401.