1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Neporo4naja [7]
3 years ago
8

Question Help When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: Randomly select a

nd test 36 batteries and determine whether each is within specifications. The entire shipment is accepted if at most 2 batteries do not meet specifications. A shipment contains 4000 batteries, and 1% of them do not meet specifications. What is the probability that this whole shipment will be accepted? Wil almost all such shipments be accepted, or will many be rejected? The probability that this whole shipment will be accepted is (Round to four decimal places as needed.) % of the shipments, so The company will accept % of the shipments and will reject (Round to two decimal places as needed.)
Mathematics
2 answers:
S_A_V [24]3 years ago
8 0

Answer:

Step-by-step explanation:

Here X no of defective batteries is binomial with p = 1% = 0.01

q = 1-p=0.99

(Because each battery is independent and there are only two outcomes)

Prob that shipment is accepted is for n =36, P(X\leq 2)

=P(x=0,1,2)

= \Sigma^2_0  36Cr (0.01)^r (0.99)^{36-r}

= 0.9944

Sunny_sXe [5.5K]3 years ago
4 0

Answer:

The probability of accepting this shipment is 0.9944.

The company will accept 99.44% of the shipments and reject 0.66% of the shipments.

Step-by-step explanation:

The shipment will be accepted if at most 2 batteries do noy meet the specifications in the sample of 36 batteries.

We can model this as a binomial distribution, with sample size of n=36 and probability of defective of p=0.01.

The probability of having at most 2 batteries defective is:

P(d\leq2)=P(d=0)+P(d=1)+P(d=2)\\\\\\P(d=k)=\frac{n!}{k!(n-k)!}p^k(1-p)^{n-k}\\\\\\ P(d=0)=\frac{36!}{0!36!}*0.01^0*0.99^{36}=1*1+0.6964=0.6964\\\\P(d=1)=\frac{36!}{1!35!}*0.01^1*0.99^{35}=36*0.01+0.7034=0.2532\\\\P(d=2)=\frac{36!}{2!34!}*0.01^2*0.99^{34}=630*0.0001+0.7106=0.0448\\\\\\P(d\leq2)=P(d=0)+P(d=1)+P(d=2)\\\\P(d\leq2)=0.6964+0.2532+0.0448=0.9944

You might be interested in
There are 128128128 ounces in a gallon. There are 444 quarts in a gallon.
Sholpan [36]

Answer:

32 ounces

Step-by-step explanation:

128oz=1gal

4quarts=1gal

128÷4=32

32oz=1 quart

4 0
3 years ago
Find the length of the third side. If necessary, write in simplest radical form
mrs_skeptik [129]

Answer:the answer is 4 to the square root of 2

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
64^1/3=4 in logarithmic form
Marrrta [24]

b^{a} = c
\\ \\In\ logarithmic\ form\ it\ can\ be\ written\ as
\\ \\log_{b}c=a.
\\ \\ So.\ in\ our\ case
\\ \\64^{\frac{1}{3}}=4
\\ \\ log_{64}4=\frac{1}{3}

7 0
3 years ago
Read 2 more answers
One of the legs of a right triangle measures 9cm and the other leg measures 8cm. Find the measure of the hypotenuse. If necessar
Aleks04 [339]

Answer:

12.0 cm

Step-by-step explanation:

Use Pythagorean theorem a^2+b^2 = c^2

a = 9

b = 8

hypotenuse = c = \sqrt{8^2+9^2}

c = 12.04 cm

4 0
2 years ago
Can somebody help me ??
fiasKO [112]

Answer: C

Step-by-step explanation:

Formula: V=\pi r^2h

We do not have the radius, but we do have the diameter. A diameter is twice the radius, therefore we can divide the diameter by 2 in order to obtain the radius.

\frac{d}{2}=\frac{12}{2}  =6

Plug this info into the formula.

V=\pi r^2h\\V=\pi (6)^2(7)\\V=\pi 36*7\\V=252\pi in^3

4 0
3 years ago
Other questions:
  • PLEASE HELP!! 1 question 10 points
    7·1 answer
  • The least common multiple of two numbers is 60, and one of the numbers is 7 less than the other number. What are the numbers? Ju
    13·1 answer
  • 3.You owe $1,032.56 on a credit card with an 11.25% APR. The minimum due is $150.00. What is the difference in the interest accr
    11·2 answers
  • Is the graph a function or not? Why or why not?
    14·2 answers
  • Ask me question plz........
    10·2 answers
  • Explain how the following ordered pairs represent or doesn't represent a function
    6·1 answer
  • CAN SOMEONE HELP ME WITH MY HW? PLEASE
    12·2 answers
  • The function h is defined by the following rule h(x)=-5x-3
    6·2 answers
  • The measure of the angles of a triangle are shown in the figure below. solve for x.
    5·1 answer
  • Is the relationship a linear function?(0,-1), (1,5),(2,11),(3,17)
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!