jee-main 2025 Q16

jee-main · India · session1_22jan_shift1 Discrete Probability Distributions Expectation and Variance from Context-Based Random Variables
A coin is tossed three times. Let $X$ denote the number of times a tail follows a head. If $\mu$ and $\sigma ^ { 2 }$ denote the mean and variance of $X$, then the value of $64 \left( \mu + \sigma ^ { 2 } \right)$ is:
(1) 51
(2) 64
(3) 32
(4) 48 
A coin is tossed three times. Let $X$ denote the number of times a tail follows a head. If $\mu$ and $\sigma ^ { 2 }$ denote the mean and variance of $X$, then the value of $64 \left( \mu + \sigma ^ { 2 } \right)$ is:\\
(1) 51\\
(2) 64\\
(3) 32\\
(4) 48
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