![]() 5 6 % into a probability, we divide byġ00, so we have □ ( □ < 4 7 ) = 0. To convert the population percentage of 1 0. ![]() We have a normal random variable □ ∼ □ □, 1 2 with unknown mean. Of the flowers are shorter than 47 cm, determine □. The heights of a sample of flowers are normally distributed with mean □ and standard deviation 12 cm. Let us try applying these techniques in a real-life context to find an unknown mean.Įxample 5: Determining the Mean of a Normal Distribution in a Real-Life Context Thus, rounding to one decimal place, we have □ = 1. ![]() To find the value of □, we can substitute back into □ − 3. We can now eliminate □ by subtracting the second equation from the first:Ģ □ − 3. Then, we multiply the second of these by 2: This yields the pair of simultaneous equationsĢ □ − 3. Example 4: Finding Unknown Quantities in Normal DistributionsĬonsider the random variable □ ∼ □ 3.
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