For a normal variable X~ N(μ = 36.9, o = 1.9), find the probab- P(X < 41.05): P(X<41.05) places) Question Help: Video 1 Message instructor Submit Question (Round the answer to Video 2 Video 3 Written Examp Post to forum Jump to Answer

SAT math scores are normally distributed with the parameters below. μ=500σ=100 What is the probability a randomly selected score is less than 580 points   What score separates the highest 15% of scores from the rest?

Directions: During a certain part of the day, the time between arrivals of automobiles at the tollgate on a turnpike is an exponential random variable with expected value 30 seconds. 1. Find the probability that the time between successive arrivals is more than 70 seconds. Probability = 2. Find the probability that the time between successive arrivals is greater than 10 seconds and less than 50 seconds. Probability =

A gender-selection technique is designed to increase the likelihood that a baby will be a girl. In the results of the gender-selection technique, 941 births consisted of 474 baby girls and 467 baby boys. In analyzing these results, assume that boys and girls are equally likely. a. Find the probability of getting exactly 474 girls in 941 births. b. Find the probability of getting 474 or more girls in 941 births. If boys and girls are equally likely, is 474 girls in 941 births unusually high? c. Which probability is relevant for trying to determine whether the technique is effective: the result from part (a) or the result from part (b)? d. Based on the results, does it appear that the gender-selection technique is effective? a. The probability (Round to four decimal places as needed.) getting exactly 474 girls in 941 births is