1. The weight of frogs in grams in a marsh population are normally distributed with mean (u) equal to 23 grams and standard deviation (o) equal to 1 gram. What is the probability that the mean (X) of a random sample of 4 frogs weighs less than 24 grams? Round your answer to three decimal places. 2. The weight of frogs in grams in a marsh population are normally distributed with unknown mean (u) and standard deviation (0) = 1 gram. What is the probability that the mean (X) of a random sample of 4 frogs lies within one gram of the true mean (u)? Round your answer to three decimal places. 3. You flip a fair coin N = 100 times. Approximate the probability that the proportion of heads among 100 coin tosses is at least 40%. Hint: Use the normal approximation of the sampling distribution of ^p. Round your answer to three decimal places. 4. Suppose that 46% of all FIU voting-eligible students support the candidate Joanna in the upcoming election. You poll N students and measure the proportion who support Joanna. What is the probability that 50% or more of the polled students (N = 100) support Joanna? Round your answer to three decimal places. 5. Suppose that 46% of FIU voting-eligible students support the candidate Joanna in the upcoming election. You poll N students and measure the proportion who support Joanna. How many students must you poll so that there is a 95% probability that less than 50% of the polled students support Joanna? Round your answer to an integer