Question 1

Find the probability.
-In a certain college, 33% of the physics majors are ethnic minorities. A random sample of 10 Physics majors is chosen. Find the probability that 2 or less are ethnic minorities. Round to the Nearest ten-thousandth.
A) 0.3070
B) 0.2888
C) 0.1990
D) 0.1080

Accepted Answer

This problem can be solved using the binomial probability formula, which is P(X = k) = (nCk) * p^k * (1-p)^(n-k), where n is the number of trials, k is the number of successful trials, p is the probability of success on a single trial, and nCk is the combination of n items taken k at a time. Here, n = 10 (the number of physics majors chosen), p = 0.33 (the probability of choosing an ethnic minority), and we're looking for the probability of k being 0, 1, or 2. We calculate the probability for each of these scenarios and sum them up to find the total probability of 2 or less ethnic minorities being chosen. The calculation yields a result closest to 0.3070, making option A the correct answer.

Question 2

Find the probability.
-The probability that a radish seed will germinate is 0.7. The gardener plants 20 seeds and she Harvests 16 radishes. Round to the nearest thousandth.
A) 0.068
B) 0.571
C) 0.130
D) 0.075

Accepted Answer

The probability of exactly 16 seeds germinating out of 20, with each having a 0.7 chance, follows a binomial distribution. Using the binomial probability formula, the probability is approximately 0.130.

Question 3

Find the probability.
-On a hospital floor, 16 patients have a disease with a mortality rate of 0.1. Two of them die. Round To the nearest thousandth.
A) 0.163
B) 0.666
C) 0.275
D) 0.170

Accepted Answer

The answer of Find the probability.
-On a hospital floor, 16 patients have...

Question 4

Find the probability.
-A battery company has found that the defective rate of its batteries is 0.03. Each day, 22 batteries Are randomly tested. On Tuesday, 1 is found to be defective. Round to the nearest thousandth.
A) 0.110
B) 0.614
C) 0.118
D) 0.348

Accepted Answer

The answer of Find the probability.
-A battery company has found that the...

Question 5

Find the probability.
-In a certain college, 33% of the physics majors are ethnic minorities. A random sample of 10 Physics majors is chosen. Find the probability that exactly 4 are not ethnic minorities. Round to The nearest ten-thousandth.
A) 0.2564
B) 0.2253
C) 0.0547
D) 0.0467

Accepted Answer

The answer of Find the probability.
-In a certain college, 33% of the...

Question 6

Find the probability.
-In a certain college, 33% of the physics majors are ethnic minorities. A random sample of 10 Physics majors is chosen. Find the probability that no more than 6 are ethnic minorities. Round to The nearest ten-thousandth.
A) 0.9846
B) 0.9815
C) 0.913
D) 0.0547

Accepted Answer

The answer of Find the probability.
-In a certain college, 33% of the...

Question 7

Find the probability.
-A 10-question multiple choice test has 4 possible answers for each question. A student selects at Least 6 correct answers. Round to the nearest thousandth.
A) 0.020
B) 0.118
C) 0.989
D) 0.995

Accepted Answer

The answer of Find the probability.
-A 10-question multiple choice test has 4...

Question 8

Find the probability.
-In a certain college, 33% of the physics majors are ethnic minorities. A random sample of 10 Physics majors is chosen. Find the probability that 7 or more are ethnic minorities. Round to the Nearest ten-thousandth.
A) 0.0154
B) 0.0185
C) 0.0032
D) 0.0028

Accepted Answer

The probability of 7 or more ethnic minorities in a sample of 10 can be calculated using the binomial probability formula. With p = 0.33, n = 10, and x = 7, 8, 9, or 10, the cumulative probability is approximately 0.0185.

Question 9

Find the probability.
-A die is rolled 18 times and two threes come up. Round to the nearest thousandth.
A) 0.230
B) 0.060
C) 0.160
D) 0.099

Accepted Answer

The probability of rolling a three on a single roll of a die is 1/6. The probability of rolling two threes in 18 rolls is (1/6)^2 * 18C2 = 0.230 (rounded to the nearest thousandth).

Quiz 11: Probability

Find the probability. -In a certain college, 33% of the physics majors are ethnic minorities. A random sample of 10 Physics majors is chosen. Find the probability that 2 or less are ethnic minorities. Round to the Nearest ten-thousandth.

Find the probability. -The probability that a radish seed will germinate is 0.7. The gardener plants 20 seeds and she Harvests 16 radishes. Round to the nearest thousandth.

Find the probability. -On a hospital floor, 16 patients have a disease with a mortality rate of 0.1. Two of them die. Round To the nearest thousandth.

Find the probability. -A battery company has found that the defective rate of its batteries is 0.03. Each day, 22 batteries Are randomly tested. On Tuesday, 1 is found to be defective. Round to the nearest thousandth.

Find the probability. -In a certain college, 33% of the physics majors are ethnic minorities. A random sample of 10 Physics majors is chosen. Find the probability that exactly 4 are not ethnic minorities. Round to The nearest ten-thousandth.

Find the probability. -In a certain college, 33% of the physics majors are ethnic minorities. A random sample of 10 Physics majors is chosen. Find the probability that no more than 6 are ethnic minorities. Round to The nearest ten-thousandth.

Find the probability. -A 10-question multiple choice test has 4 possible answers for each question. A student selects at Least 6 correct answers. Round to the nearest thousandth.

Find the probability. -In a certain college, 33% of the physics majors are ethnic minorities. A random sample of 10 Physics majors is chosen. Find the probability that 7 or more are ethnic minorities. Round to the Nearest ten-thousandth.

Find the probability. -A die is rolled 18 times and two threes come up. Round to the nearest thousandth.