The mean incubation time for a type of fertilized egg kept at 100.7 °F is 21days. Suppose that the incubation times are approximately normally distributed with a standard deviation of 11day.
(a) What is the probability that a randomly selected fertilized egg hatches in less than 20days?
(b) What is the probability that a randomly selected fertilized egg takes over 22days to hatch?
(c) What is the probability that a randomly selected fertilized egg hatches between 19 and 21days?
(d) Would it be unusual for an egg to hatch in less than 18days? Why?
Solution :
Given that ,
mean = = 21
standard deviation = = 11
a) P(x < 20 ) = P[(x - ) / < (20- 21) / 11 ]
= P(z < -0.09)
= 0.4641
probability = 0.4641
b)
P(x > 22 ) = 1 - p( x< 22)
=1- p P[(x - ) / < (22-21) /11 ]
=1- P(z < 0.09)
= 1 - 0.5359 = 0.4641
Probability =0.4641
c)
P( 19< x < 21) = P[(19-21)/11 ) < (x - ) / < (21-21) /11 ) ]
= P(-0.18 < z < 0)
= P(z <0 ) - P(z < -0.18)
= 0.5 - 0.4286 = 0.0714
Probability = 0.0714
d)
P(x < 18 ) = P[(x - ) / < (18- 21) / 11 ]
= P(z < -0.27)
= 0.3940
probability = 0.3940
Would it be usual for an egg to hatch in less than 18 days ,
because probability greater than 0.05 .
The mean incubation time for a type of fertilized egg kept at 100.7 °F is 21days....
The mean incubation time for a type of fertilized egg kept at 100.3°F is 23 days. Suppose that the incubation times are approximately normally distributed with a standard deviation of 2 days? (a) What is the probability that a randomly selected fertilized egg hatches in less than 19 days? (b) What is the probability that a randomly selected fertilized egg takes over 27 days to hatch? (c) What is the probability that a randomly selected fertilized egg hatches between 21...
The mean incubation time for a type of fertilized egg kept at 100.2°F is 23 days. Suppose that the incubation times are approximately normally distributed with a standard deviation of 1 day. (a) What is the probability that a randomly selected fertilized egg hatches in less than 22 days? (b) What is the probability that a randomly selected fertilized egg hatches between 21 and 23 days? (c) What is the probability that a randomly selected fertilized egg takes over 24...
The mean incubation time for a type of fertilized egg kept at a certain temperature in 15 days Suppose that the incubation times are approximately normally distributed with a standard deviation of 2 days. Complete parts (a) through (d) below. (a) Find and interpret the probability that a randomly selected fertilized egg hatches in less than 11 days to the Student Notebook The probability that a randomly selected fertilized egg hatches in less than 11 days is (Round to four...
The mean incubation time for a type of fertilized egg kept at a certain temperature is 17 days. Suppose that the incubation times are approximately normally distributed with a standard deviation of 1 day . Complete parts (a) through (e) below. Part (a) Draw a normal model that describes egg incubation times of these fertilized eggs. Part (b) Find and interpret the probability that a randomly selected fertilized egg hatches in less than days. The probability that a...
4. The mean incubation time for a type of fertilized egg kept at a certain temperature is 22 days. Suppose that the incubation times are approximately normally distributed with a standard deviation of 1 day. Complete parts (a) through (e) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) Draw a normal model that describes egg incubation times of these fertilized eggs. Choose the correct...
о му е Question Help Cours The mean incubation time for a type of fertilized egg kept at a certain temperature is 23 days. Suppose that the incubation times are approximately normally distributed with a standard deviation of 2 days. Complete parts (a) through (e) below. Assig (b) Find and interpret the probability that a randomly selected fertilized egg hatches in less than 21 days. Stude The probability that a randomly selected fertilized egg hatches in less than 21 days...
Date: 10/21/18 incubation times are approximately normally distributed with a standard deviation of 1 day. 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 4. The mean incubation time for a type of fertilized egg kept at 100.8 F is 23 days. Suppose that the (a) What is the probability that a randomly selected fertilized egg hatches in shorter than...
GRAPHS ARE SHOWN IN PICTURES INDIVIDUALLY AND THE LETTERS ARE AT TOP OF PICTURE OF GRAPH. O Take a Test - Cody Lamt x testid 20008 1086 Statistics L 2018 MAT220 31 S 19 TERM6 Cody Lambert&1 5/25/1 Test: POST UNIT 4 Test CH 6 &7 This Question: 1 pt 13 of 13 (9 complete) This Test: 1 E Quest The mean incubation time for a type of fertilized egg kept at a certain temperature is 19 days Suppase that...
The mean incubation time of fertilized eggs is 19 days. Suppose the incubation times are approximately normally distributed with a standard deviation of 1 day. (a) Determine the 10th percentile for incubation times. (b) Determine the incubation times that make up the middle 97%.
The mean incubation time of fertilized eggs is 23 days. Suppose the incubation times are approximately normally distributed with a standard deviation of 1 day. (a) Determine the 15th percentile for incubation times. (b) Determine the incubation times that make up the middle 95% of fertilized eggs. (a) The 15th percentile for incubation times is _______ days. (Round to the nearest whole number as needed) (b) The incubation times that make up the middle 95% of fertilized eggs are _______ to _______ days. (Round...