Answers
If X ~Bin (n,p )
then , normal approximation to binomial states that , if np>10 and n(1-p) >10 thenX approximately follows a normal distribution with mean = np and variance = np(1-p) .
Here np = 285 and n(1-p) = 15 . So condition satisfies .
So, we can say approximately X~N( 285 , 3.7752)
So,
![P[280<X<290] \\\\= P[\frac{280-285}{3.775}<\frac{X-285}{3.775} < \frac{290-285}{3.775}] \\\\= P[-1.3245 <Z<1.3245] \\\\= 2 \Phi(1.3245)-1 \\\\= 0.8147](https://i.imgur.com/XUyC2R4.png)
P[280 < X < 290] PE 280 - 285 3.775 X – 285 3.775 290 – 285 3.775 = P[-1.3245 <2<1.3245] = 20(1.3245) - 1 = 0.8147
.
Similar Solved Questions
1 answer
1. A 75kg athlete runs up a hill that is 55.Om high. How much work is...
1. A 75kg athlete runs up a hill that is 55.Om high. How much work is required? If the activity required 26 seconds, what was their average power output?...
1 answer
What is the probability that a card drawn at random from 52 cards will be a King or Queen?
#P(A)=8/52=2/13#...
1 answer
When a chemical reaction occurs, atoms rearrange to form now compounds, but no new atoms are...
When a chemical reaction occurs, atoms rearrange to form now compounds, but no new atoms are created nor are any destroyed This concept is called conservation of mass. Mass conservation can be seen in a balanced chemical equation where the numbers of each kind of atom are the same on both sides of t...
1 answer
How do you find the general solutions for #2 cos x + 1 = cos x#?
How do you find the general solutions for #2 cos x + 1 = cos x#?...
1 answer
1. (10 points) Evaluate j F dl for the vector function F(3x y2)a, from P1 (5,6)...
1. (10 points) Evaluate j F dl for the vector function F(3x y2)a, from P1 (5,6) to P2 (3,3) (Figure below) 6 (a) Along the path labeled (1) (b) Along the path labeled (2)...
1 answer
Wildhorse Co. issued $513,000,7%, 30-year bonds on January 1, 2022, at 105. Interest is payable annually...
Wildhorse Co. issued $513,000,7%, 30-year bonds on January 1, 2022, at 105. Interest is payable annually on January 1. Wildhorse uses straight line amortization for bond premium or discount Prepare the journal entries to record the following events. (Credit account titles are automatically indented ...
1 answer
RECALL: Example 3 A researcher collects the following data and determines that there is a signifi...
solve slide ir please by giving me the excel output RECALL: Example 3 A researcher collects the following data and determines that there is a significant relationship between the age of a copy machine and its monthly maintenance cost Test if the model is significant at 0.05 Machine Ae (years)Mon...
1 answer
Part (b) should be 8 and Part (c) should be 20. Not sure why and not...
Part (b) should be 8 and Part (c) should be 20. Not sure why and not sure what (a) and (d) should be. 6. For each map below, determine the number of southerly paths from point A to point B...
1 answer
Problem Statement The Campus Common is a precinct on campus where people can meet, eat, drink, an...
Please help with Q7. Problem Statement The Campus Common is a precinct on campus where people can meet, eat, drink, and socialise. An extract from their website: "the Campus Common is the new temporary food, beverage and social precinct on campus for staff, students and visitors to enjoy." y...
1 answer
How would you show that, in a linear regression, as the sample size N goes to...
How would you show that, in a linear regression, as the sample size N goes to infinity, the estimated parameters converge to the real (true) ones. [Hint: what is the standard error of the estimates]....
1 answer
Come up with the outcome for the numbers shown record a corporations first period of operations...
come up with the outcome for the numbers shown record a corporations first period of operations only need the outcome (transaction) for each of the expenses Transaction #5- Paid the following expenses: wages rent $950.00; utilities $450.00; interest $100.00 and miscellaneous expenses $275.00...
1 answer
Assume that is the parametric surface r= x(u, v) i + y(u, v) j + z(u,...
Assume that is the parametric surface r= x(u, v) i + y(u, v) j + z(u, v) k where (u, v) varies over a region R. Express the surface integral 116.3.2) as as a double integral with variables of integration u and v. a (x, y) a(u, v) du dy ru Хry dy du l|ru Xr, || f (x (u, v),y(u, v),z (u, v)) 1(x...
1 answer
Review | Constants 1 Periodic Table The mass of an electron is 9.11 x 10 1...
Review | Constants 1 Periodic Table The mass of an electron is 9.11 x 10 1 kg. If the de Broglie wavelength for an electron in a hydrogen atom is 3.31 x 100 m, how fa is the electron moving relative to the speed of light? The speed of light is 3.00 x 10 m/s. Express your answer numerically as a perc...
1 answer
Alongside the RN, Identify what communication skills you may utilise when communicating with the client and...
Alongside the RN, Identify what communication skills you may utilise when communicating with the client and her family/carers so that they understand the implications of her admission (in 50-70 words)?...
1 answer
Can someone solve this with full steps A fluid flows upward in a conical contraction, and...
can someone solve this with full steps A fluid flows upward in a conical contraction, and a U-tube manometer measures the pressure difference between the entrance and the exit, as shown in Figure 2. The flowing fluid has a density p and the heavier fluid in the manometer has a density p. The dia...
1 answer
Is #f(x)=-x/e^(x^2-3x+2) # increasing or decreasing at #x=4 #?
Is #f(x)=-x/e^(x^2-3x+2) # increasing or decreasing at #x=4 #?...
1 answer
Find the quotient and remainder using long division. r4 -8a3 +69x + 14 The quotient is...
Find the quotient and remainder using long division. r4 -8a3 +69x + 14 The quotient is Preview S Enter an algebraic expression [more..] The remainder is 丼 Previewsyntax error Get help: Video Video...