2TG - PLEASE PROVIDE THE answers first followed by a brief explanation.

Part 1

A chemistry student surveyed former students about how many different laboratory experiments they did that required use of a scale. The chemistry student found that a scale was required for experiments 25% of the time. The student had 30 laboratory experiments this semester. Assume that a scale being required for one laboratory experiment does not affect the likelihood of a scale being required for another laboratory experiment. Let x = the number of laboratory experiments this semester for which the student had to use a scale. (a) The random variable is which of the following? O the number of experiments for which the student had to use a scale O the number of students O the number of times the student had a laboratory experiment the number of experiments for which the student did not have to use a scale (b) How many total laboratory experiments did the student have this semester? (c) Determine whether the following statement is true or false. This scenario is an example of a binomial probability distribution. O True O FalseAn engineering firm has designed a new type of battery that will hold a charge for more than 10 hours. It is known that 40% of the old type of batteries can hold a charge for more than 10 hours. (a) A simple random sample of 50 of the old type of batteries is drawn. Find the mean number of batteries that will hold a charge for more than 10 hours. (b) A simple random sample of 50 of the old type of batteries is drawn. Find the standard deviation of the number of batteries that will hold a charge for more than 10 hours. (Round your answer to two decimal places.) (c) A simple random sample of 50 of the new type of batteries is drawn. The success rate, p, for the new batteries is unknown. For which value of p will the standard deviation of the number of batteries holding a charge for more than 10 hours be greatest? O 0.50 O 0.40 O 0.30 O 0.20A relative frequency table is given with a list of the three possible outcomes for a carnival game. Win Stuffed Animal Win Free Pass Lose 0.10 0.25 0.65 What is the probability of winning on any given turn at the game?You buy a lottery ticket to a lottery that costs $10 per ticket. There are only 100 tickets available to be sold in this lottery. In this lottery there are one $405 prize, two $120 prizes, and four $25 prizes. Find your expected gain or loss. (Round your answer to two decimal places.) $The table below shows a random sample of musicians and how they learned to play their instruments. Gender Self-taught Studied in School Private Instruction Total Female 18 34 24 76 Male 19 23 12 54 Total 37 57 36 130 Find P(musician is a female OR is self taught). (Enter your probability as a fraction.) P( musician is a female OR is self taught) =