Question
In: Statistics and Probability
If you have X~N (80,10) A) Calculate P(X>95) B) P(85≤X≤90) ROUND TO 4 DECIMAL PLACES
If you have X~N (80,10) A) Calculate P(X>95) B) P(85≤X≤90) ROUND TO 4 DECIMAL PLACES
Solutions
Expert Solution
Solution :
Given that ,
mean = 
= 80
standard deviation = 
= 10
(A)
P(x > 95) = 1 - P(x < 95)
= 1 - P((x -
) /
< (95 - 80) / 10)
= 1 - P(z < 1.5)
= 1 - 0.9332
= 0.0668
Probability = 0.0668
(B)
P(85 
X
90) = P((85 - 80 / 10) 
(x - 
) / 
(90 - 80 / 10) )
= P(0.5
z
1)
= P(z
1) - P(z
0.5)
= 0.8413 - 0.6915
= 0.1498
Probability = 0.1498
orchestra answered 2 years agoRelated Solutions
Find P(Z ≥ 1.8). Round answer to 4 decimal places.
Find P(Z ≥ 1.8). Round answer to 4 decimal places.
ROUND UP TO 4 DECIMAL PLACES. Draw and label the P-V & T-S diagrams. An Ideal...
ROUND UP TO 4 DECIMAL PLACES. Draw and label the P-V & T-S
diagrams.
An Ideal air standard dual-combustion cycle has a compression
ratio of 15. At the start of the compression process, the air
temperature and pressure are 30°C and 150kPa respectively. Heat
addition takes place until the maximum cycle temperature reaches
1950°C and produces total heat of 1200 kJ/kg. Determine (a)
Temperature, specific volume and Pressure at each state, (b) Net
work output (kJ/kg), and (c) thermal efficiency....
ROUND UP TO 4 DECIMAL PLACES. Draw and label the P-V & T-S diagrams. A gas...
ROUND UP TO 4 DECIMAL PLACES. Draw and label the P-V & T-S
diagrams.
A gas turbine power plant operates on simple Brayton cycle with
air as the working fluid. The pressure ratio is 12. Temperature at
the compressor inlet is 300 K, while at the turbine inlet the
temperature is 1000 K. Determine (a) the efficiency and (b) the net
work output per kg of air. (c) Mass flow rate (kg/s) to produce
70,000 kW.
ROUND UP TO 4 DECIMAL PLACES. Draw and label the P-V & T-S diagrams. Given an...
ROUND UP TO 4 DECIMAL PLACES. Draw and label the P-V & T-S
diagrams.
Given an ideal air-standard Diesel cycle has a compression ratio
of 15. Temperature and Pressure at the start of compression process
is 70°F and 1atm. 800 BTU/lbm of Heat is added to the system.
Determine (a) Temperature, specific volume and Pressure at each
state, (b) Efficiency, and (c) the mass flow rate of air (lbm/min),
required to produce 200 hp.
What is the firm's inventory turnover ratio, ROA (in %, round to 2 decimal places), ROE (in %, round to 2 decimal places), profit margin (in %, round to 2 decimal places), EPS($), P/E ratio, market-to-book ratio?
The balance sheet and income statement shown below are for
Pettijohn Inc. Note that the firm has no amortization charges, it
does not lease any assets, none of its debt must be retired during
the next 5 years, and the notes payable will be rolled over.
Balance Sheet (Millions of $)
Assets
2018
Cash and securities
$ 1,554.0
Accounts receivable
9,660.0
Inventories
13,440.0
Total current assets
$24,654.0
Net plant and equipment
17,346.0
Total assets
$42,000.0
Liabilities and Equity
Accounts payable...
Calculate the standard error. May normality be assumed? (Round your answers to 4 decimal places.) Standard...
Calculate the standard error. May normality be assumed?
(Round your answers to 4 decimal
places.)
Standard Error
Normality
(a)
n = 22, ππ = .45
(Click to select) No Yes
(b)
n = 45, ππ = .18
(Click to select) No Yes
(c)
n = 110, ππ = .16
(Click to select) Yes No
(d)
n = 547, ππ = .003
Just need help with A-D, the standard error
Calculate the standard error. May normality be assumed? (Round your answers to 4 decimal places.) Standard...
Calculate the standard error. May normality be assumed?
(Round your answers to 4 decimal
places.)
Standard Error
Normality
(a)
n = 20, ππ = .21
(Click to select) No Yes
(b)
n = 48, ππ = .27
(Click to select) Yes No
(c)
n = 117, ππ = .53
(Click to select) Yes No
(d)
n = 593, ππ = .002
(Click to select) Yes No
Calculate the standard error. May normality be assumed? (Round your answers to 4 decimal places.) Standard...
Calculate the standard error.
May normality be assumed? (Round your answers to 4 decimal
places.)
Standard
Error
Normality
(a) n
= 27, ππ = 0.35
(Click to
select)NoYes
(b) n
= 48, ππ = 0.53
(Click to
select)NoYes
(c) n
= 110, ππ = 0.41
(Click to
select)YesNo
(d) n
= 489, ππ = 0.006
(Click to
select)NoYes
Practice B (all answers to 4 decimal places) a) Let X and Y be the lifetimes...
Practice B (all answers to 4 decimal places)
a) Let X and Y be the lifetimes of the two components of a
standby system, and suppose X and Y are independent exponentially
distributed random variables with expected lifetimes 3 weeks and 4
weeks, respectively. The combined lifetimes of the two components
equal the total lifetime of the system. Let T=X+Y, the lifetime of
the standby system. What is the standard deviation of the
lifetime of the system?
b) Let U1,U2,...,Un...
Calculate the book inventory (round to two decimal places) , the shortage or overage dollars (round all answers...
Calculate the book inventory (round to two
decimal places) , the shortage or overage dollars (round
all answers to two decimal places), and then
the shortage or overage percent (but leave off the %
sign) given the following information:
Opening
inventory $
64,200
Net
purchases 154,600
Transfer
in
3,400
Transfer
out
2,700
Markdowns 11,300
Markdown
cancellations 760
Net
sales 141,300
Employee
discounts
1,920
Closing
physical
inventory 63,760
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- A labor market has 50,000 people in the labor force. Each month, a fraction p of...
- A road with a radius of 72 m is banked so that a car can navigate...
- 1) If you had not dried the solid, would the calculated percent yield have been higher,...
- Two structures of alanine can be drawn that have a net charge of zero, but the...
- Co(II) was used as an internal standard to analyze a sample of Ti(IV) with atomic absorption...
- Matlab Programming Write an M-file to read a real-valued vector of any length from the keyboard...
- TASK back to top In the contemporary management environment, mergers and acquisitions are hot topics; particularly...
ADVERTISEMENT