Question

d) find the mean number of heads. round final answer to 3 decimal places. write your units in the second box.

Explanation:

1. Assume a fair - coin toss scenario (if not otherwise specified):

• When tossing a fair coin \(n\) times, the number of heads \(X\) follows a binomial distribution \(X\sim B(n,p)\), where \(p = 0.5\) (probability of getting a head in a single fair - coin toss).
• The mean of a binomial distribution is given by the formula \(\mu=np\).
• However, since the number of coin - tosses \(n\) is not given in the problem, let's assume \(n = 1\) for a single coin - toss.

Step 1: Identify the formula for the mean of a binomial distribution

The formula for the mean \(\mu\) of a binomial random variable \(X\sim B(n,p)\) is \(\mu=np\).

Step 2: Substitute the values of \(n\) and \(p\)

If \(n = 1\) (a single coin - toss) and \(p=0.5\), then \(\mu=(1)\times(0.5)=0.500\).

Answer:

0.500, number of heads