Answer:
The answers to the questions are;
(a) P(At least 1 defective)
= 0.9883.
(b) P(At least 1 defective)
= 0.6409.
Step-by-step explanation:
There are 110 cards and 20 defectives.
a) The probability of at least one defective is given by
P(At least 1 defective) = 1 - P(0 defective)
P(0 defective) = 20C0 × (90C0)/(110C20) = 0.0116
1 - 0.0116 = 0.9883
b) For a set of 110 boards that has 5 defective and 105 non-defective
P(At least 1 defective) = 1 - P(0 defective)
P(0 defective) = (20C0)(90C5)/(110C5) = 0.35909
1-0.35909
= 0.6409
Answer:
there are 14 books in the box now
Step-by-step explanation:
12-4=8
8+6=14
14 books
The sales tax would be $1.36 so the total cost would be $35.36
Answer:
y = (3/4)x - 9
Step-by-step explanation:
The slope-intercept form of the equation of a straight line is y = mx + b.
Here we know x, y and m, but must find b.
Substituting 8 for x, -3 for y and 3/4 for m in the equation above results in:
-3 = (3/4)(8) + b, or (after multiplying all three terms by 4 to clear fractions):
-3 = 6 + b
Then b = -9, and the desired equation is y = (3/4)x - 9
Answer:
1.63% probability that the 10 selected include include all the best 5 engineers in the group of 20
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the engineers are selected is not important, so the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
Desired outcomes:
10 engineers selected from a set of 20.
5 best, from a set of 5.
Other 5, from a set of 20-5 = 15.
Totao outcomes:
10 engineers selected from a set of 20.
Probability:
1.63% probability that the 10 selected include include all the best 5 engineers in the group of 20
