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The incubation time for Rhode Island Red Chicks is normallydistrubuted with a me

ID: 2913465 • Letter: T

Question

The incubation time for Rhode Island Red Chicks is normallydistrubuted with a mean of 21 days and standard devation ofapproximately 1 day (based on information from World BookEncylopedia). Using the empirical rule answer the followingquestions. If 1000 eggs are being incubated, how many chicks do weexpect will hatch: a. in 19 to 23 days b. in 20 to 22 days c. in 21 days or fewer d. in 18 to 24 days? (Assume all eggs eventually hatch) Note: in this problem, let us agree to think of a single dayor a succession of days as a continous interval of time) The incubation time for Rhode Island Red Chicks is normallydistrubuted with a mean of 21 days and standard devation ofapproximately 1 day (based on information from World BookEncylopedia). Using the empirical rule answer the followingquestions. If 1000 eggs are being incubated, how many chicks do weexpect will hatch: a. in 19 to 23 days b. in 20 to 22 days c. in 21 days or fewer d. in 18 to 24 days? (Assume all eggs eventually hatch) Note: in this problem, let us agree to think of a single dayor a succession of days as a continous interval of time)

Explanation / Answer

Mean incubation time =21 days and =1day. n=1000 let x be the incubation time. Therefore, a. p(19<X>23) = p(19-21 < Z<23-21) where Z=X-21                        = p(-2<Z<2)                        = 0.9544 b. p(20<X>22) = p(20-21 < Z<22-21) where Z=X-21                        = p(-1<Z<1)                        = 0.6827 c.p(X<21) = p(Z<0.5)                  d.p(18<X>24) = p(18-21 < Z<24-21) where Z= X-21                        = p(-3<Z<3)                        = 0.9973 Hope this will Help U                        = p(-1<Z<1)                        = 0.6827 c.p(X<21) = p(Z<0.5)                  d.p(18<X>24) = p(18-21 < Z<24-21) where Z= X-21                        = p(-3<Z<3)                        = 0.9973 Hope this will Help U                        = p(-3<Z<3)                        = 0.9973 Hope this will Help U