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
Troyanec [42]
3 years ago
8

The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.954 grams and a standard devia

tion of 0.292 grams. Find the probability of randomly selecting a cigarette with 0.37 grams of nicotine or less. Round your answer to four decima
Mathematics
1 answer:
olga_2 [115]3 years ago
4 0

Let <em>X</em> be the random variable representing the amount (in grams) of nicotine contained in a randomly chosen cigarette.

P(<em>X</em> ≤ 0.37) = P((<em>X</em> - 0.954)/0.292 ≤ (0.37 - 0.954)/0.292) = P(<em>Z</em> ≤ -2)

where <em>Z</em> follows the standard normal distribution with mean 0 and standard deviation 1. (We just transform <em>X</em> to <em>Z</em> using the rule <em>Z</em> = (<em>X</em> - mean(<em>X</em>))/sd(<em>X</em>).)

Given the required precision for this probability, you should consult a calculator or appropriate <em>z</em>-score table. You would find that

P(<em>Z</em> ≤ -2) ≈ 0.0228

You can also estimate this probabilty using the empirical or 68-95-99.7 rule, which says that approximately 95% of any normal distribution lies within 2 standard deviations of the mean. This is to say,

P(-2 ≤ <em>Z</em> ≤ 2) ≈ 0.95

which means

P(<em>Z</em> ≤ -2 or <em>Z</em> ≥ 2) ≈ 1 - 0.95 = 0.05

The normal distribution is symmetric, so this means

P(<em>Z</em> ≤ -2) ≈ 1/2 × 0.05 = 0.025

which is indeed pretty close to what we found earlier.

You might be interested in
Is 52ft greater than or less than 912in
viktelen [127]
52 ft is less than 912.

There is 12 inches in a foot, so I did 52 x 12 = 624. 624 is less than 912.
6 0
3 years ago
Read 2 more answers
Solve the exponent equation for x 7(4x-6)= 1/49
tatiyna
X=1. Chose C. Hoped that will help
4 0
3 years ago
What do you think is another example of when a person would need to use credit or borrow money?
NemiM [27]

Answer:

You need money for employees, equipment, office space and much more. Borrowing money to start your practice is often a good idea. The debt is being used to fund something that will likely generate healthy returns, allowing you to safely make the debt payments.

hope this helps :)

7 0
3 years ago
When round off to nearest thousand, the number 42,099​
Roman55 [17]

Answer:42000

Step-by-step explanation:

There is no number higher than 5 after the thousands so you would keep it the same

3 0
3 years ago
Read 2 more answers
Alejandra can husk 8 ears of corn in 24 minutes. At this rate, how many ears of corn can she husk in 33 minutes?Jonah bicycled 1
Yuki888 [10]

Answer:

Step-by-step explanation:

If she can husk 8 in 24mins

⟩ 8 = 24

Let x = ears of corn in 33mins

⟩ 8 = 24

x = 33

If less more divide

⟩ 24x = 8×33

⟩ x = 264÷24

⟩ x = 11 mins

3 0
3 years ago
Read 2 more answers
Other questions:
  • Which point is located at (Negative 3.5, Negative 4.5)? On a coordinate plane, point A is 3.5 units to the left and 4.5 units do
    15·2 answers
  • Which expresion shows 18 more than 6 + 18 6 x 18 18 / 6 18 - 6
    9·1 answer
  • PLZZ HELP IM IN THE NEED OF HELP LOOK IN THE PICTURE answer all 3 plzzzzz
    12·2 answers
  • Does anyone know the answer?
    6·1 answer
  • Make a conjecture about the next two items in the sequence.
    12·1 answer
  • The graph shows the speed of a vehicle during the final 50 seconds of a journey
    6·1 answer
  • GIVING OUT BRAINLIEST TO WHOEVER CAN PROVIDE THE CORRECT ANSWER !! Asap
    11·1 answer
  • Danny added 15 to the product of 234 and 12. What is the sum ???
    14·1 answer
  • Help please........................
    15·1 answer
  • ILL GIVE BRAINIEST TO THE BEST SIMPLIFIED ANSWER Amy compared function 1, y = 3x + 10, to function 2, the linear function shown
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!