Binomial Distribution Answers
Question text not available
p represents the number of trials✔ probability of successnumber of successesprobability of failure.
k represents the number of trialsprobability of successnumber of successesprobability of failure.
Question text not available
p =
0.5
k =
5
What does each variable represent?n represents the number of trialsprobability of successnumber of successesprobability of failure.
What is the probability of getting exactly 5 “heads” in 10 coin flips?
Which expression represents the probability of rolling a 5 exactly three times in ten rolls of a number cube with six sides?
A number cube with six sides is rolled seven times. The probability of getting a 4 exactly twice is ⇒ 0.234.
7C2(1/6)^2(5/6)^5
Using the information on the left, combine the individual probabilities to compute the probability that Peter will pass the quiz.
Describe the pattern in the probability of getting greater numbers of successes.
The probability decreases as the number of successes increases. For instance, the probability of getting 9 or 10 successes in 10 trials is very small and approaches 0 because such a high number of successes is very unlikely for this distribution.
Which of the following ideas did you include in your response? Check all of the boxes that apply.
The distribution is
Which of the following ideas did you include in your response? Check all of the boxes that apply.
Explain why the second result is less.
As the number of trials increases, the probability of getting exactly a specific number of successes that is far from the new mean decreases. For 10 trials with a 50% success rate, 5 is the expected value (mean) and has the highest probability. However, for 20 trials, the expected value is 10, and getting exactly 5 successes is much less likely because the distribution has spread out and centered around a higher value.
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