Juries should have the same racial distribution as the surrounding communities. About 29% of residents in a certain region are a specific race. Suppose a local court randomly selects 150 adult citizens of the region to participate in the jury pool.

• Use the Central Limit Theorem(and the EmpiricalRule) to find the approximate probability that the proportion of available jurors of the above specific race is more than two standard errors from the population value of 0.29.
• The conditions for using the Central Limit Theorem are satisfied because the sample israndom; the population is more than 10 times 150; n times p is 44, and n times(1 minusp) is 107, and both are more than 10.