Question

5 and 6 please

The length of time it takes collese students to find a parking spot in the library parking lot follows a normal distribution with a mean of 3.0 minutes and a standard deviation of 1 minute. Find the probability that a randomly selected college student will find a parking spot in the library parking lot in less than 2.5 minutes. 6. About 74% of the residents in a town say that they are making an effort to conserve water or electricity. One hundred ten residents are randomly selected. (a) Is this sampling distribution of approximately normal? (Show work.) (b) What would the minimum population of the town need to be in order to ensure the sampled values are independent of each other? (c) What is the mean of the sampling distribution of p? (d) What is the standard deviation of the sampling distribution of p? (e) What is the probability that the sample proportion making an effort to conserve water or electricity is greater than 80%?

Answer 1

mean =3 min Std. deviating El min X - Normal distributing PLX < 25) = - z - Xa - 2.5-3 --0.5 plxc 2.5) = plZc-05) = 0.3885 (Probability = 0.3085) town say that they are conserve water lelee ticity residents in a Making an effort to nello L P5074 yes Sample Sampling distribution of P is normal approxima B 1220905 120.05 N -N226 n minimum N=201110) = (2200 to mean Mp = p = 0.74. foqufa 26) plift ♡ Standard deviating Ja EI PUT = ( = पा)

Sample Proportion B greater than 80%. T PC A 20.8%) = ? PR - - Za Tele-P) 0.80 -0.74 lotu 1-0.74) ho 2 । प् – PC B 20:88) = Plzs 1.435) REPLZC1435) E1-0.9294 20.0756 I probability = 0.0756)