The probability of multiple events happening is calculated by multiplying the probabilities of each event together. This is the case if each event is independent of the other events.
For a fair coin, the probability of tails is 1/ 2 or 0.5, so the probability of all tails in 10 tosess is (1/2)^10 = 1/1024 = 0.0009765625
Correct answer: D
The relationship that sin x° and cos y° share is that; cos x = sin y and sin x = cos y = 12/13
<h3>How to work with Pythagoras Theorem?</h3>
From the definitions of trigonometric ratios, we know that;
sin x = opposite leg/hypotenuse
cos y = adjacent leg/hypotenuse
From the Pythagorean theorem, we can find the hypotenuse as;
6² + 8² = hypotenuse²
The cosine is the sine of the complementary angle. Since x and y are complementary angles as they sum up to 90°, we have cos x = sin y and sin x = cos y = 12/13
Read more about Pythagoras Theorem at; brainly.com/question/27572671
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Answer:
A)Option D
B)P(X = 15) = 0.1325
Step-by-step explanation:
A) From the question, the information given follows binomial distribution because there are two mutually exclusive outcomes for each trial, there is a fixed number of trials. The outcome of one trial does not affect the outcome of another, and the probability of success is the same for each trial.
So option D is correct.
B) From the question, we are told that the poll reported that 66 percent of adults were satisfied with the job. Thus, probability is; p = 0.66
Let X be the number of adults satisfied with the job. Since 25 are selected,
Thus;
P(X = 15) = C(25, 15) * (0.66)^(15) * (1 - 0.66)^(25 - 15)
P(X = 15) = 3268760 × 0.00196407937 × 0.00002064378
P(X = 15) = 0.1325
