Home /
Expert Answers /
Statistics and Probability /
the-loaves-of-rye-bread-distributed-to-local-stores-by-a-certain-bakery-have-an-average-length-of-pa288
(Solved): The loaves of rye bread distributed to local stores by a certain bakery have an average length of ...
The loaves of rye bread distributed to local stores by a certain bakery have an average length of 29 centimeters and a standard deviation of 2 centimeters. Assuming that the lengths are normally distributed, complete parts (a) through (c) below. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) What is the probability that a randomly selected loaf is longer than \( 30.5 \) centimeters? The probability is (Round to four decimal places as needed.) (b) What is the probability that a randomly selected loaf is between \( 28.4 \) and \( 32.2 \) centimeters in length? The probability is (Round to four decimal places as needed.) (c) What is the probability that a randomly selected loaf is shorter than \( 24.6 \) centimeters? The probability is
Expert Answer
Solution : Given that , mean = µ = 29 standard deviation = ? = 2 a) P(x > 30.5) µ? P(x>30.5)=1?P(x<30.5)=1?P[x?µ?<30.5?292]=1?P(z<0.75)=1?0.7734=0.226