Consider the experiment where you flip a fair coin 4 times and you are interested in the number of heads that appear. From the website http://www.socr.ucla.edu/ go to DISTRIBUTIONS → [SOCR DISTRIBUTIONS] → BINOMIAL DISTRIBUTION. Select the appropriate “success probability” for this experiment.
(a) Define the random variable of interest X.
(b) Use the applet to determine the probability that we observe exactly 2 heads.
(c) Now draw a tree diagram for the sample space, and determine, by hand, the probability of observing exactly 2 heads. Does this agree with your answer in 1(b)?
(d) What is the probability that we do not observe 2 heads?
(e) Use the applet to determine the mean and variance of X.
3. Using the same applet as in question 1, now adjust the number of trials to 16.
(a) What is the probability that we observe exactly 10 heads?
(b) Go to: http://www.pstat.ucsb.edu/faculty/gatto/binomial.p… Use this table to determine the probability of observing exactly 10 heads. Does this agree with your answer in 2(a)?
(c) Use this table to calculate the P(X < 5).
(d) Use the table to calculate the probability of the event that we observe at least 14 heads.
(e) What is the probability that we do not observe 6 heads?
2
✅ Answers
? Favorite Answer
really? a “free 10$ amzon gift card”
if only I knew what that was and how I could trust you to get it to me, there might be some incentive
-4 = 3a + b definite, there’s a linear function that is going through using the two (a million,2) and (3, -4).. undergo in techniques which you rather want 2 factors to have a line.. get slope: 6/-2 = -3 y – 2 = -3 (x – a million) y – 2 = -3x + 3 y = -3x + 5