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Luden [163]
3 years ago
13

If you flip a fair coin five times what is the probability that you will get exactly 3 tales

Mathematics
1 answer:
V125BC [204]3 years ago
4 0
<h3>Answer: 0.3125</h3>

As a fraction, 0.3125 = 5/16

================================================

Work Shown:

n = 5 trials

p = 0.5 is the probability of landing tails

x = 3 = number of tails we want to happen

Use the binomial PDF formula to get

(n C x)*(p)^x*(1-p)^(n-x)

(5 C 3)*(0.5)^3*(1-0.5)^(5-3)

10*(0.5)^3*(0.5)^(2)

0.3125

note: flipping a single coin 5 times is the same as flipping 5 independent coins one time

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Step-by-step explanation:

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A college student took 4 courses last semester. His final grades, along with the credits each class is worth, are as follow: A (
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Answer:

A college student took 4 courses last semester. His final grades, along with the credits each class is worth, are as follow: A (3), B (4), C (2), and D (3). The grading system assigns quality points as follows: A: 4; B: 3; C: 2; D: 1; and F: 0. Find the student’s GPA for this semester. Round your answer to the nearest thousandth.

another way is

This is a weighted average question. You are going to "weight" each course by the number of credits it is worth and then divide by the total number of credits. In other words, you are going to multiply each grade (A=4, B=3) by the number of credits attached to that grade. This will ensure that the courses that have more credits count more in the overall average. Then you are going to divide by the total number of credits to get the overall GPA.

So,

(3*4 + 4*3 + 2 *2 + 3*1)/(3+4+2+3) = GPA

Step-by-step explanation:

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3 years ago
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