Question

and standard deviation. A random variable \( x \) is normally distributed with \( \mu=50 \) and \( \sigma^{2}=25 \). Find the probability (a) that it fall between (i) 0 and 40 , (ii) 55 and \( 100 ;(b) \) that it will be (i) larger than 54 , (ii) smaller than 57. In a normal distribution with \( \mu=13.5 \) and \( \sigma=3.6 \), find two points such that a single observation has \( 95 \% \) chance for falling between them.

          and standard deviation.
A random variable \( x \) is normally distributed with \( \mu=50 \) and \( \sigma^{2}=25 \). Find the probability (a) that it fall between (i) 0 and 40 , (ii) 55 and \( 100 ;(b) \) that it will be (i) larger than 54 , (ii) smaller than 57.
In a normal distribution with \( \mu=13.5 \) and \( \sigma=3.6 \), find two points such that a single observation has \( 95 \% \) chance for falling between them.