Mark looked at the statistics for his favorite baseball player, Jose Bautista. Mark looked at seasons when Bautista played 100 or more games and found that Bautista's probability of hitting a home run in a game is 0.173.If Mark uses the normal approximation of the binomial distribution, what will be the variance of the number of home runs Bautista is projected to hit in 100 games? Answer choices are rounded to the tenths place.17.33.80.814.3

Approximately 40% of students enjoy basketball.In a class of 400 students, what is the mean, variance, and standard deviation if we assume normality and use the normal distribution as an approximation of the binomial distribution? Answer choices rounded to the nearest whole number.a.)Mean = 240Variance = 10Standard Deviation = 96b.)Mean = 160Variance = 10Standard Deviation = 96c.)Mean = 160Variance = 96Standard Deviation = 10d.)Mean = 240Variance = 96Standard Deviation = 10

At the U.S. Open Tennis Championship a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed was 100 miles per hour (mph) and the standard deviation of the serve speeds was 15 mph. If nothing is known about the shape of the distribution, what percentage of the player's serve speeds are less than 70 mph?Group of answer choicesapproximately 2.5%at most 12.5%at most 11%at most 25%

The standard deviation of the binomial distribution is

Runs scored by batsman in 5 one day matches are 50, 70, 82, 93, and 20. The standard deviation is ______Options25.6925.4925.7925.29

Runs scored by batsman in 5 one day matches are 50, 70, 82, 93, and 20. The standard deviation is ______Options25.7925.2925.6925.49