Question

Using RStudio

15. (9 pts) A particular basketball player has a season long free throw percentage of 55%. The player takes 7 free throws.

a) Explain why this is a binomial probability.

b) Create a table with the probability distribution.

c) Create the histogram for the probability distribution.

Answer 1

a) Yes it is binomial distribution because

i) Trials are fixed and independent

ii) probability of success in each trial is fixed i.e. 0.55

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b)> y <- dbinom(x=0:7,size=7, prob= .55)
> y
[1] 0.003736695 0.031969498 0.117221491 0.238784520 0.291847746 0.214021680 0.087194018
[8] 0.015224352

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# Create a sample of 50 numbers which are incremented by 1.
x <- seq(0,7,by = 1)

# Create the binomial distribution.
y <- dbinom(x,7,0.55)

# Give the chart file a name.
png(file = "dbinom.png")

# Plot the graph for this sample.
plot(x,y)

# Save the file.
dev.off()