I'm so sorry but I just want to check my answers: b) The weight of a green forest frog has a normal distribution with mean 150.3 g and a standard deviation of 5g. Find the probability that a randomly selected frog weighs i. Less than 153g [2] ii. Between 150 g and 158 g [3] c) The random variable X is normally distributed such that X~N(?,12). It is known that ?(?>32)=0.0618. find the value of ?. [4]

I'm so sorry but I just want to check my answers: b) The weight of a green forest frog has a normal distribution with mean 150.3 g and a standard deviation of 5g. Find the probability that a randomly selected frog weighs i. Less than 153g [2] ii. Between 150 g and 158 g [3] c) The random variable X is normally distributed such that X~N(?,12). It is known that ?(?>32)=0.0618. find the value of ?. [4]

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

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Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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