Hi, I am in difficulty when I kept trying to do these questions.

Could you give me a help to solve these questions?

Thank you so much.

Note: Be sure to define each random variable used and give its distribution.

Q1 (1 point) At an online technical support centre, it is known that 12% of all tech support requests require escalation to a supervisor. If 800 random tech support requests are reviewed, determine the probability that at least 110 required escalation to a supervisor. Use the normal approximation to the binomial with the continuity correction. Be sure to confirm that the normal distribution is an appropriate approximation to use here. Q2 (2 points) A study finds that the magnesium (element symbol: Mg) content of snow crab (Chionoecetes opilio) shells is normally distributed, with a mean of 8.5 mg of magnesium per 1 gram of shell dry weight (written as "8.5 mg/g dw"), with a standard deviation of 3.0 mg/g dw. (a) Determine the probability that a random snow crab shell has a magnesium content between 7.0 mg/g dw and 9.0 mg/g dw. (b) Determine the magnesium content c (in mg/g dw) such that only 4% of all snow crab shells have a magnesium content greater than c.Q3 (2 points) The lifespan, in years, of a certain type of wireless router is known to be gamma distributed with o: = 2 and a mean of 8 years. Determine the probability that the router has a lifespan of at least 10 years. Q4 (1 point) Suppose that the time it takes, in minutes, for a caller to navigate an automated phone menu is exponentially distributed with a mean of 1.5 minutes. In a review of 10 random calls, what is the probability that in exactly' 4 of those calls, the caller took longer than 2 minutes to navigate the automated menu