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QuestionThe weight of a leatherback turtle is normally distributed with mean760 pounds and standard deviation 98 pounds. So X ~ N(760, 98). What is the probability that a leatherback turtle will weight exactly 800 pounds?.65910.34091The weight of a leatherback turtle is normally distributed with mean 760 pounds and standard deviation 98 pounds. So X ~ N(760, 98). What is the probability that a leatherback turtle will weight less than 700 pounds?.2702-.61.3072.7298The weight of a leatherback turtle is normally distributed with mean 760 pounds and standard deviation 98 pounds. So X ~ N(760, 98). What is the probability that a leatherback turtle will weight more than 1000 pounds?Group of answer choices.9928.00722.45.9929The weight of a leatherback turtle is normally distributed with mean 760 pounds and standard deviation 98 pounds. So X ~ N(760, 98). What is the probability that a leatherback turtle will weightbetween 720 pounds and 840 pounds?Group of answer choices.4513-.4513.5487.4081What is the probability that a t with 28 degrees of freedom will take a value of 2.048 or less?Group of answer choices.025.9798.975.0202Butterfinger is a candy bar created in 1923 in Chicago, Illinois by Otto Schnering, which currently is manufactured by Nestl. The Butterfinger bar consists of a crispy peanut butter core coated in milk chocolate. Each bar is advertised as weighing 60 grams and having 275 calories.Suppose that due to imperfections in the manufacturing process not all Butterfinger bars weigh exactly 60 grams, but instead the weight of Butterfinger bars follows a normal distribution with mean 60 grams and standard deviation 1.2 grams. Use this information to answer questions 2,3,4 and 5.Suppose we have a t-distribution with 25 degrees of freedom.Find the value of t25 such that the probability of being greater than that value is .005.995.49802.787-2.787Emma loves Butterfinger bars and recently ate a bar that only weighed 58 grams. Based on the distribution described to the left, what is the probability that a Butterfinger bar will weigh 58 grams or less?0.95220.0478-1.670.9525Emily also loves Butterfinger bars and always hopes to get a candy bar that is as large as possible. Based on the distribution described to the left, how much must a Butterfinger bar weigh to fall in the top 1.19% of the distribution?-2.262.2662.71257.288Jennifer opened an odd shaped Butterfinger bar and upon weighing it realized it weighed 63.2 grams. Based on the distribution described to the left, what is the probability that a Butterfinger bar will weigh 63.2 grams or more?2.67.9962.0038.9762Linsey loves Butterfinger bars but is cutting back on sweets, so she would prefer a smaller Butterfinger bar if given the choice. Based on the distribution described to the left, how much must a Butterfinger bar weigh to fall in the bottom 14.23% of the distribution?61.284-1.0758.7161.07MathStatistics and Probability STAT 3006

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