The probability that a randomly selected adult male beagle weighs less than 26.2 pounds is d. 0.6605.
Identify the parameters: We are given that the weight of adult male beagles is normally distributed with a mean (µ) of 25.0 pounds and a standard deviation (σ) of 2.9 pounds. We want to find the probability that a beagle weighs less than 26.2 pounds, which is the cumulative distribution function (CDF) at 26.2.
Use the calculator or table: Most graphing calculators have built-in functions to calculate the CDF of the normal distribution. You can input the values of µ, σ, and the desired weight (26.2) to obtain the probability.
Alternatively, you can use Table A-2, which provides the CDF values for the standard normal distribution (µ = 0, σ = 1). In this case, you would first calculate the z-score:
z = (26.2 - µ) / σ = (26.2 - 25.0) / 2.9 ≈ 0.41
Then, look up the z-score in Table A-2 to find the corresponding CDF value, which is approximately 0.6605.
Therefore, the probability that a randomly selected adult male beagle weighs less than 26.2 pounds is approximately 0.6605.