Question

The mean incubation time for a type of fertilized egg kept at 100.6F is 19 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 17 days?

(b) What is the probability that a randomly selected fertilized egg takes over 21 days to hatch?

(c) What is the probability that a randomly selected fertilized egg hatches between 15 and 19 days?

(d) Would it be unusual for an egg to hatch in less than 16 days? Why?

Answer #1

Given,

= 19 , = 2

We convert this to standard normal as

P(X < x) = P(Z < ( x - ) / )

a)

P(X < 17) = P(Z < ( 17 - 19) / 2 )

= P(Z < -1)

= **0.1587**

b)

P(X > 21) = P(Z > ( 21 - 19) / 2)

= P(Z > 1)

= **0.1587**

c)

P(15 < X < 19) = P(X < 19) - P(X < 15)

= P(Z < ( 19 - 19) / 2) - P(Z < (15 - 19) / 2)

= P(Z < 0) - P(Z < -2)

= 0.5 - 0.0228

= **0.4772**

d)

P(X < 16) = P(Z < ( 16 - 19) / 2 )

= P(Z < -1.5)

= **0.0668**

Since this probability is greater than 0.05, it would
**not unusual** for an egg to hatch in less than 16
days.

The mean incubation time for a type of fertilized egg kept at
100.8°F is 21 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 hatches between
17 and 21 days? (c) What is the probability that a randomly
selected fertilized egg takes over 23...

The mean incubation time for a type of fertilized egg kept at
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probability that a randomly selected fertilized egg hatches between
19 and 21 ?days? ?(c) What is the probability that a randomly
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The mean incubation time for a type of fertilized egg kept at
100.3?°F is 22 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 21 days?
?(b) What is the probability that a randomly selected fertilized
egg hatches between 20 and 22 days?
?(c) What is the probability that a randomly selected fertilized
egg takes over 23...

The mean incubation time for a type of fertilized egg kept at a
certain temperature is
1818
days. Suppose that the incubation times are approximately
normally distributed with a standard deviation of
11
dayday.
Complete parts (a) through (e) below.
(a) Draw a normal model that describes egg incubation times of
these fertilized eggs.
Choose the correct graph below.
Click here to view graph d.
LOADING...
Click here to view graph c.
LOADING...
Click here to view graph b.
LOADING......

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 95%
of fertilized eggs.

The mean incubation time of fertilized eggs is 21 days. Suppose
the incubation times are approximately normally distributed with a
standard deviation of 1 day.
(a) Determine the 20th percentile for incubation times.
(b) Determine the incubation times that make up the middle
39%.

The mean incubation time of fertilized eggs is 20 days. Suppose
the incubation times are approximately normally distributed with a
standard deviation of 1 day. (a) Determine the 14th percentile for
incubation times. (b) Determine the incubation times that make up
the middle 95% of fertilized eggs.

The mean incubation time of fertilized eggs is 23 days. Suppose
the incubation times are approximately normally distributed with a
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the middle 39%. （2 numbers）

Chapter 7.2 Question 14
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 17th percentile for incubation
times.
B.) Determine the incubation times that make up the
middle 95%

The mean incubation time of fertilized eggs is 21days. Suppose
the incubation times are approximately normally distributed with a
standard deviation of 11day.
(b) Determine the incubation times that make up the middle
97%.

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