# Question: For a normal distribution find the probability that an observation

For a normal distribution, find the probability that an observation is

a. Within 1.96 standard deviations of the mean.

b. More than 2.33 standard deviations from the mean.

a. Within 1.96 standard deviations of the mean.

b. More than 2.33 standard deviations from the mean.

## Answer to relevant Questions

Find the z -score such that the interval within z standard deviations of the mean contains probability (a) 0.95 (b) 0.99 for a normal distribution. Sketch the two cases on a single graph. The wingspans of recently cloned monarch butterflies follow a normal distribution with mean 9 inches and standard deviation 0.75 inches. What proportion of the butterflies has a wingspan a. Less than 8 inches? b. Wider than ...A weather forecaster states, “The chance of rain is 50% on Saturday and 50% again on Sunday. So there’s a 100% chance of rain sometime over the weekend.” If whether or not it rains on Saturday is independent of whether ...Consider a game of poker being played with a standard 52-card deck (four suits, each of which has 13 different denominations of cards). At a certain point in the game, six cards have been exposed. Of the six, four are ...You’d like to estimate the proportion of the 14,201 (www.syr.edu/about/facts.html) undergraduate students at Syracuse University who are full-time students. You poll a random sample of 100 students, of whom 94 are ...Post your question