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Find the mean and variance of the random variable
X in Exercise 5.58, representing the number of
hurricanes per year to hit a certain area of the eastern
United States.
X in Exercise 5.58, representing the number of
hurricanes per year to hit a certain area of the eastern
United States.
The probability that a student at a local high
school fails the screening test for scoliosis (curvature
of the spine) is known to be 0.004. Of the next 1875
students at the school who are screened for scoliosisfind the probability that
(a) fewer than 5 fail the test;
(b) 8, 9, or 10 fail the test.
school fails the screening test for scoliosis (curvature
of the spine) is known to be 0.004. Of the next 1875
students at the school who are screened for scoliosisfind the probability that
(a) fewer than 5 fail the test;
(b) 8, 9, or 10 fail the test.
Suppose that, on average, 1 person in 1000
makes a numerical error in preparing his or her income
tax return. If 10,000 returns are selected at random
and examined, find the probability that 6, 7, or 8 of
them contain an error.
makes a numerical error in preparing his or her income
tax return. If 10,000 returns are selected at random
and examined, find the probability that 6, 7, or 8 of
them contain an error.
The average number of field mice per acre in
a 5-acre wheat field is estimated to be 12. Find the
probability that fewer than 7 field mice are found
(a) on a given acre;
(b) on 2 of the next 3 acres inspected
a 5-acre wheat field is estimated to be 12. Find the
probability that fewer than 7 field mice are found
(a) on a given acre;
(b) on 2 of the next 3 acres inspected
Suppose the probability that any given person
will believe a tale about the transgressions of a famous
actress is 0.8. What is the probability that
(a) the sixth person to hear this tale is the fourth one
to believe it?
(b) the third person to hear this tale is the first one to
believe it?
will believe a tale about the transgressions of a famous
actress is 0.8. What is the probability that
(a) the sixth person to hear this tale is the fourth one
to believe it?
(b) the third person to hear this tale is the first one to
believe it?
On average, a textbook author makes two wordprocessing
errors per page on the first draft of her textbook.
What is the probability that on the next page
she will make
(a) 4 or more errors?
(b) no errors?
errors per page on the first draft of her textbook.
What is the probability that on the next page
she will make
(a) 4 or more errors?
(b) no errors?
On average, 3 traffic accidents per month occur
at a certain intersection. What is the probability that
in any given month at this intersection
(a) exactly 5 accidents will occur?
(b) fewer than 3 accidents will occur?
(c) at least 2 accidents will occur?
at a certain intersection. What is the probability that
in any given month at this intersection
(a) exactly 5 accidents will occur?
(b) fewer than 3 accidents will occur?
(c) at least 2 accidents will occur?
The probability that a student pilot passes the
written test for a private pilot’s license is 0.7. Find the
probability that a given student will pass the test
(a) on the third try;
(b) before the fourth try.
written test for a private pilot’s license is 0.7. Find the
probability that a given student will pass the test
(a) on the third try;
(b) before the fourth try.
Q.Find equation of the osculating plane and osculating circle of the curve at the given point.
γ(t)=(2 sin3t, t, 2 cos3t), (0, π, -2)
γ(t)=(2 sin3t, t, 2 cos3t), (0, π, -2)
Q. Find the curvature and torsion for the curve
γ(t)=(√2t〖,e〗^t 〖,e〗^(-t))
γ(t)=(√2t〖,e〗^t 〖,e〗^(-t))
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#340153 on Dec 2023
#340153 on Dec 2023