answer.
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
evablogger [386]
2 years ago
4

Two friends, Andy and Bob, participate in a game of bowling every week. From past experiences, it is known that both friends’ sc

ores are approximately normally distributed, where Andy has a mean score of 150 with a standard deviation of 30, and Bob has a mean score of 165 with a standard deviation of 15. Assuming that their scores are independent, which of the following values is closest to the probability that Andy will have a greater score than Bob in a single game?
Mathematics
1 answer:
s344n2d4d5 [400]2 years ago
3 0

Answer: 0.3264

Step-by-step explanation:

Let Andy's variable = a

Bob's variables = b

Andy mean score Ma = 150

Andy standard deviation SDa = 30

Bob mean score Mb = 165

Bob standard deviation = 15

Therefore, the probability of Andy having greater score than Bob

= P( a-b > 0)

The mean X(a-b) = Ma - Mb

X(a-b)= 150 - 165 = -15

Standard deviation = sqrt Variance

Variance = 30² + 15² = 1125

SD = sqrt (1125) = 33.54

Therefore, the

P(a-b > 0) = 1 - P(a-b <0)

P(a-b<0) = P(z, 0-(-15)/33.54 )

P(a-b <0) = P (z, 0.45) = 0.6736

Since

P(a-b > 0) = 1 - P(a-b <0)

P(a-b> 0) = 1 - 0.6736 = 0.3264

Therefore, Andy has the probability of 0.3264 of scoring greater Bob

You might be interested in
Which statement below gives the best reason for considering personal needs, values, and circumstances in selecting a bank accoun
inn [45]

Answer:

the answer is b

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Use the Midpoint Formula three times to find the three points that divide the line segment joining (x1, y1) and (x2, y2) into fo
fredd [130]
We are given points A(x_1,y_1) and B(x_2,y_2). 

We first find the midpoint M, of AB, which divides the segment AB into 2 equal parts, 

then we find the midpoint N of AM, and midpoint K of MB.

Thus each of the half parts is divided into 2 equal parts. The whole segment is divided into 4 equal parts.




The coordinates of M, N and K are found as follows:


the coordinates of M are: ( \frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})


the coordinates of N are: 

\displaystyle{( \frac{x_1+\frac{x_1+x_2}{2}}{2} , \frac{y_1+\frac{y_1+y_2}{2}}{2})=( \frac{\frac{2x_1+x_1+x_2}{2}}{2} , \frac{\frac{2y_1+y_1+y_2}{2}}{2})

=\displaystyle{(\frac{3x_1+x_2}{4}, \frac{3y_1+y_2}{4})}


similarly, the coordinates of k are:

=\displaystyle{(\frac{x_1+3x_2}{4}, \frac{y_1+3y_2}{4})}


6 0
2 years ago
Use a calculator to find the values of the inverse trigonometric functions. Round to the nearest degree. sin–1 = __° tan–1(4) =_
elena-s [515]

Solution:

As 360°= 2 π Radian

1 Radian =\frac{180 degree}{\pi }  

1. Sin(-1)= Sin (\frac{-180 degree}{\pi } )

 = Sin (-57°16'22")=-0.84147

2.Tan^{-1}4=Tan(\frac{720}{\pi }})

=Tan^{-1} (229°54'32")

=75.963757 Degrees

3. Cos^{-1}(0.1)=Cos^{-1}(\frac{18}{\pi})=Cos^{-1}(\frac{63}{11})=

= Cos^{-1}(5°43'38")

= 84.26083 Degrees


6 0
2 years ago
Read 2 more answers
9,290 is the value of the first 9 ten times as great as the value of the second 9?
Semenov [28]

Answer:

No

Step-by-step explanation:

The first nine in on the place of the thousands, while the second nine is on the place of the tens. so the first nine is a hundred times as great as the second nine

8 0
2 years ago
Mattel Corporation produces a remote-controlled car that requires three AA batteries. The mean life of these batteries in this p
goldfiish [28.3K]

Answer:

0.0406, 0.8284,0.7887

Step-by-step explanation:

Given that Mattel Corporation produces a remote-controlled car that requires three AA batteries

X is N(34, 5.5)

Hence sample size of 25 would follow a t distribution with df = 24

This is because sample size <30

t distribution with df 24 would be bell shaped symmetrical about the mean and unimodal.

Std error of sample mean = std dev /sqrt n=\frac{5.5}{5} \\=1.1

Prob (X>36) = P(t>\frac{36-34}{1.1} ) = P(t>1.82)\\= 0.04063

i.e nearly 4.1% of the sample would have a mean useful life of more than 36 hours

X>33.5 implies t>-0.45

=0.82837

=0.8284 proportion will have a mean useful life greater than 33.5 hours

Proportion between 33.5 and 36 hours

= 0.3284+0.4593=0.7887

6 0
2 years ago
Other questions:
  • A gardener is planning to fill her garden with mulch. She plots it on a grid to plan how much she will need. The garden is in th
    11·1 answer
  • Whats 1797.26 rounded to the nearest 100
    7·2 answers
  • The Fibonacci sequence was first discovered during a study of rabbits. If newborn rabbits become adults in one month, each pair
    15·1 answer
  • Jamie, Lily, and Alice collectively weigh 192 pounds. Lily is 3 times as heavy as Jamie, and Alice is 11 pounds. Lighter than Li
    5·1 answer
  • John divided his souvenir hat pins into two piles. The two piles had an equal number of pins. He gave his brother one-half of on
    10·1 answer
  • Ben and Landon took turns driving on their recent 820 mile road trip. Ben averaged 60 miles per hour while landon averaged 56 mi
    13·1 answer
  • The 2015 American Time Use survey contains data on how many minutes of sleep per night each of 10,900 survey participants estima
    11·1 answer
  • Assume that the amount of time that it takes an employee to service a car at an oil change facility follows the uniform probabil
    6·1 answer
  • Train A and train B stops at Swindon at 10:30 . Train A stops every twelve minutes and train B stops every 14 Mins , when do the
    15·1 answer
  • Past experience indicates that the time required for high school seniors to complete a standardized test is a normal random vari
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!