5.4: Binomial Cumulative Probability, Mean, & SD

Last updated 22 days ago

7 questions

Binomial Cumulative Probability

Use the following situation to answer Question 2:
Biologists estimate that a randomly selected baby elk has a 44% chance of surviving to adulthood. Assume this estimate is correct. Suppose researchers choose 7 baby elk at random to monitor. Let X=the number that survive to adulthood.

5.4: Binomial Cumulative Probability, Mean, & SD

Last updated 22 days ago

7 questions

Binomial Cumulative Probability

Use the dropdown menu to complete the probability statement using a less than or equal to sign or a greater than or equal to sign ONLY! 
Note: a probability statement can be written correctly with a less than or greater than sign, but since the calculator must use an "or equal to symbol" the following is to practice rewriting in this form.

The probability of at most 4. 
P(X __________  __________)

The probability of more than 6.
P(X __________  __________)

The probability of at least 3.
P(X __________  __________) 

The probability of less than 5.
P(X __________  __________)

Use the following situation to answer Question 2:
Biologists estimate that a randomly selected baby elk has a 44% chance of surviving to adulthood. Assume this estimate is correct. Suppose researchers choose 7 baby elk at random to monitor. Let X=the number that survive to adulthood.

Round to two decimal places.
Find the probability that at most 3 baby elk survive to adulthood.
_______ 

Find the probability that less than 3 baby elk survive to adulthood.
_______ 

Find the probability that more than 4 baby elk survive to adulthood.
_______ 

Find the probability that at least 6 baby elk survive to adulthood.
_______ 

Use the following situation to answer Question 3:
An online spinner has two colored regions-blue and yellow. According to the website, the probability that the spinner lands in the blue region on any spin is 0.80. Assume foor now that this claim is correct. Suppose we spin the spinner 12 times. Let X=the number of times it lands in the blue region.

Round to two decimal places.
Find P(X < 9).
_______

Find P(X > 8).
_______ 

Find P(X > 10).
_______ 

Use the following situation to answer Questions 4-7:
When a polling company calls a telephone number at random, there is only a 9% chance that the call reaches a live person and the survey is successfully completed. Suppose the random digit dialing machine makes 15 calls. Let X=the number of calls that result in a completed survey.

Calculate the mean of X.

Interpret the mean of X.

If we pick many, many randomly selected _______, the average number of  _______ that result in a completed survey will be about _______(mean) _______(units).

5.4: Binomial Cumulative Probability, Mean, & SD

Binomial Cumulative Probability

5.4: Binomial Cumulative Probability, Mean, & SD

Binomial Cumulative Probability

Calculate the mean of X.

Calculate the mean of X.

Calculate the standard deviation of X to two decimal places.

Calculate the standard deviation of X to two decimal places.