Answer: (a) 0.344578
(b) 0.211855
Step-by-step explanation: Let X represent Jill's score and Let Y represent Jack's score.
Jill's scores are approximately normally distributed with mean 170 and standard deviation 20 implies :
X ≈(170 , )
Also , since Jack's scores are approximately normally distributed with mean 160 and standard deviation, it implies
Y ≈ ( 160 , ).
It is given that their scores are independent which means that the outcome one one will not affect the outcome of the other, we the have:
Y - X ≈ N(-10 ,+ )
Y - X ≈ N(-10 ,625 )
Also , Y + X ≈ N ( 330 , 625 )
(a) We need to find the approximate probability that Jack's score is higher , that is
P ( Y > X)
=P(Y - X >0)
= P ( >
= 1 - Ф()
= 1 - Ф()
= 1 - Ф ( 0.4)
= 1 - 0.655422
= 0.344578
P ( Y > X) ≈ 0.345
(b) We need to calculate the approximate probability that their total score is above 350 , that is
P ( X + Y > 350)
= P ( > )
= 1 - Ф()
= 1 - Ф ( 0.8)
= 1 - 0.788145
= 0.211855
P ( X + Y > 350)≈ 0.212
You have a fifty-fifty chance, so you would expect it to land on heads five times and for it to land on tails five times. Hope this helps!
Answer:
<em>1.8833333 Hours and 113 minutes</em>
Step-by-step explanation: <em>An hour is a unit of time equal to 60 minutes, or 3,600 seconds. A minute is a unit of time equal to 60 seconds.</em>
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540 is the answer because you multiply 3 times 10 times 18 or whatever order you want and you'll get 540 so that's your answer
The area of the triangle UVW is the amount of space on the triangle
The area of the triangle UVW is 503 square centimeters
<h3>How to determine the area of the triangle</h3>
The given parameters are:
v = 63 cm, w = 49 cm and ∠U=161°
The area of the triangle is then calculated as:
So, we have:
Evaluate the product
Hence, the area of the triangle UVW is 503 square centimeters
Read more about area at:
brainly.com/question/10090807