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
tresset_1 [31]
3 years ago
12

The probability density function of the time it takes a hematology cell counter to complete a test on a blood sample is f(x)=0.0

4 for 50 A) What percentage of tests require more than 70 seconds to complete?
b) What percentage of tests require less than one minute to complete?
c) Determine the mean and variance of the time to complete a test on a sample.
Mathematics
1 answer:
uysha [10]3 years ago
3 0

Answer:

a) 20%

b) 40%

c) Mean = 62.5 seconds; Variance = 52.083 seconds

Step-by-step explanation:

The time it takes a hematology cell counter to complete a test on a blood sample is continuously distributed over the period of 50 to 75 seconds with probability f(x) = 0.04.

a) The percentage of tests require more than 70 seconds is:

P(X>70) = 1- \frac{70-50}{75-50} \\P(X>70) =0.2 = 20\%

b)The percentage of tests that require less than one minute (60 seconds) is:

P(X70) =0.4 = 40\%

c) The mean and variance of a continuous distribution are determined by:

M=\frac{A+B}{2}=\frac{50+75}{2}\\ M= 62.5\ seconds\\\\V=\frac{(B-A)^2}{12}=\frac{(75-50)^2}{12}\\  V= 52.083\ seconds

Mean = 62.5 seconds.

Variance = 52.083 seconds.

You might be interested in
Which expression has a value of 24 when x=4 and y=2?
wolverine [178]
C) will have value of 24 

4 0
3 years ago
Read 2 more answers
Which of the following is characteristic of an epic hero?
jenyasd209 [6]
An epic hero must be most couragous than an actual oerson because that is what makes them brave and it gives them the ablitiy to fight
4 0
3 years ago
Read 2 more answers
A restaurant owner made a list of the number of meals ordered last night. She found that 42 people ordered chicken Parmesan, 39
jasenka [17]

Answer:

29/110

Step-by-step explanation:

There are a total of 110 orders at the restaurant, so that will serve as the denominator. There are 29 meatballs, so that will be the numerator. Combine the two and you get 29/110. Experimental probability is what happens in the experiment like this question. Theoretical probability is "real math" as in 1/3.

5 0
3 years ago
A sleep time of 15.9 hours per day for a newborn baby is at the 10h percentile of the distribution of sleep times for all newbor
Step2247 [10]

The mean time in hours per day for newborn babies is 16.5 hours ⇒ D

Step-by-step explanation:

A sleep time of 15.9 hours per day for a newborn baby is at the 10th

percentile of the distribution of sleep times for all newborn babies

Assuming the distribution is normal with a standard deviation of

0.5 hour

To find the mean time let us do that

1. Use the normal distribution table to find the corresponding z-score

   for 10th percentile

2. Use the rule μ = x - zσ, where μ is the mean, σ is the standard

    deviation and x is the score

3. Substitute the values of x, σ and z in the rule to find μ

Look to the normal distribution table to find z-score that equivalent

to the area = 10/100 = 0.1 (10th percentile)

∵ z-score = -1.28

∵ σ = 0.5 hour

∵ x = 15.9

∵ μ = x - zσ

- Substitute the values in the rule

∴ μ = 15.9 - (-1.28)(0.5)

∴ μ = 15.9 + 0.64

∴ μ = 16.54 ≅ 16.5 hours

The mean time in hours per day for newborn babies is 16.5 hours

Learn more:

You can learn more about the normal distribution curve in brainly.com/question/8799684

#LearnwithBrainly

6 0
3 years ago
What is the slope of the equation y= 5/4x - 7/4?<br> –7<br> -7/4<br> 5/4<br> 5
Scilla [17]

Answer:

5/4

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Order numbers 11/8,1.405, and1.45 smallest to largest
    11·1 answer
  • Your gross pay is $2,759.00. your involuntary deductions are fica (7.65%), federal withholding (12%), and state withholding (7%)
    11·2 answers
  • How to I find the slope of this equation
    15·2 answers
  • Scott has a container of ping pong balls and golf balls. The number of ping pong balls in the container is 8 times as many as th
    5·1 answer
  • If jimmy has 2 apples and he eats 1 how many does he have left
    5·1 answer
  • Explain this to me thanks
    5·1 answer
  • Evaluate the expression using the Commutative and Associative properties of numbers.
    11·1 answer
  • Find question attached​
    12·1 answer
  • examples of subtraction of two fractions ( between 0-1) with a common denominator. IN STEPS ALL WORK, I need two examples.
    14·1 answer
  • Please help it’s polynomials
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!