In this current scenario,
Probability of passing, p = 65% = 0.65
Then,
Probability of not passing, q = 1-p = 1-0.65 = 0.35
Part (a): When 15 people are tested
(i) Number of people expected to pass
This is 65% of the 15 people tested. That is,
Number of people expected to pass = 0.65*15 = 9.75. This is rounded downwards as upward rounding will violate the 65% criteria.
Therefore,
Number of people expected to pass = 9 people.
(ii) Probability that 11 people are expected to pass the test
p(x=11) = [15Cx]*p^x*q^(15-x) = [15C11]*0.65^11*0.35^(15-11) = 0.1792 ≈ 17.92%
Part (b): Teenager determined to pass the test no matter how many times
(i) Probability that he passes the test the third time
This means that he will fail the first and second time. That is,
Probability pf passing the third time = q*q*p = 0.35*0.35*0.65 = 0.079625 = 7.9625%
(ii) Number of trials it takes to pass
This is a case of mathematical expected, E, that it takes before first occurrence of success. Normally,
E = 1/p
Substituting;
E = 1/0.65 = 1.54 ≈ 2
Therefore, at least two trials will be required.
Answer:
x=-2.8
Step-by-step explanation:
This answer is right if all the numbers are mixed fractions.
Answer:
3rd, 4th, and 5th options.
Step-by-step explanation:
The way this was formatted was a little weird, but the 3rd, 4th, and 5th options are correct I think.
If there was 358.92 left, it has to be divided 3 ways (after subtracting 451.89 - 358.92). So that means that 3c or c+c+c could be correct, as well as using dis. property to switch around the last one I guess.
if this helped, brainliest is appreciated.
Answer:
First we need to find 1/3 of 24. When you see "of" replace it with "×".
1/3 of 24 =
1/3 × 24 =
24/ 3 = 8
So 8 stamps are animals. Now we find 3/4 of 8 to find out how many have birds.
3/4 of 8 =
3/4 × 8 =
24/4 = 6
6 have birds
Step-by-step explanation:
24/3 = 8 stamps with pictures of animals, 8 x 3/4 = 6 stamps with birds on them. If it helps 8 has a denominator of 1 so you just multiply the top and the bottom of the fractions. 8x3=24 and you divide that by 4x1
Answer:
P ≈ 0,94
Step-by-step explanation:
The normal deck of cards consists of 52 cards, (with 4 kings )
If we take a king a deck will have 51 cards ( three kings )
The probability to get a non-king card is
Probability of non-king card (P) = 1 - Probability of getting a king card (P₁)
Probability of getting a king card P₁= 3/51 ≈ 0,059
Then P = 1 - 0,059
P ≈ 0,94