The circumferences of WNBA basketballs follow a normal distribution where mean = 29.0 ; and standard deviation = 0.1 inches.
What proportion of WNBA basketballs are SMALLER than 29.1?

The proportions of WNBA basketballs smaller than 29.1 inches is 0.8413.

Step-by-step explanation:

Let the random variable X be defined as the circumferences of WNBA basketballs.

The mean of the random variable X is, μ = 29.0 inches and the standard deviation is, σ = 0.10 inches.

The random variable X follows a Normal distribution.

To compute the probability of a normally distributed random variable we must convert the raw score (X) to z-scores.

The z-scores follows a Standard normal distribution, i.e. N (0, 1).

Compute the probability of circumferences of WNBA basketballs smaller than 29.1 inches as follows:

Thus, the proportions of WNBA basketballs smaller than 29.1 inches is 0.8413.

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step-by-step explanation: