Question: and show work out clearly. Please write clearly so I can read it. Make sure work out is visible if you have to type it

and show work out clearly. Please write clearly so I can read it. Make sure work out is visible if you have to type it plz do so. 1. About 10% of the population are left-handed. We randomly sample 30 students and ask if they are left-handed. X is the number who are left-handed. Is X a Binomial random variable? if not, why not? 2. You flip a coin ten times. The coin has a 75% chance of landing heads up and a 25% chance of landing tails up. X is the number of Heads out of ten flips. Is X a binomial variable? if not, why not? 3. The probability of Wendy's fi lling a drive thru order correctly is 0.889. Ten people go through the drive thru. Let X be the variable for orders filled correctly. Assume X follows a Binomial distribution. Find the expected value of X? 4. Use the setup from Q3. Find the standard deviation of X

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