Carson's tablet has 2,000 videos. The play time for the videos is skewed to the right, with a mean of 135 seconds and a standard deviation of 25 seconds.Part A: Can you accurately calculate the probability that the mean play time is more than 142 seconds for an SRS of 10 videos? Explain.Part B: If you take a random sample of 50 videos instead of 10, explain how the Central Limit Theorem allows you to find the probability that the mean play time is more than 142 seconds. Calculate this probability and show your work.

Let, denotes the play time for the Carson's tablet video.The mean and standard deviation of x is given as:Number of videos : We have to obtain the required results for the same.The distribution of play time is given to be right-skewed.The sample size of SRS is given as: As the distribution for the play-time is given to be right skewed and no clear distribution is given for the same.We can not have the sampling distribution for the mean play time for the small sample of size 10.Therefore, the accurate value of the probability can not be obtained as the sampling distribution of mean play time is not known.The sample size for the random sample is given as: As the sample size is 50, which is larger than 30, we can use the Central Limit Theorem to obtain the sampling distribution of the mean play time, .Therefore, using Central Limit Theorem, the sampling distribution of mean play time is approximately normal with mean and standard deviation as:The required probability can be accurately calculated.The probability that the mean play time is more than 142 seconds is obtained as:The probability is obtained as .Note: The is obtained using the MS-excel formula "=NORMSDIST( )" and the required probability is obtained as:For the SRS of size 10, the required probability can not accurately obtained as the sampling distribution of mean play time is not given.For the SRS of size 50, the required probability can be obtained as using Central Limit Theorem,the sampling distribution of mean play time is normally distributed.The probability that the mean play time is more than 142 seconds is .