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
Brilliant_brown
2 months ago
12

In a high school there are 1200 students. Estimate the probability that more than 130 students were born in January under each o

f the following assumptions. You do not have to use the continuity correction.
(a) Months are equally likely to contain birthdays
(b) Days are equally likely to be birthdays
Mathematics
1 answer:
Svet_ta [12.7K]2 months ago
3 0
The probability of more than 130 students born in January based on the provided assumptions is 0.00086. Let X represent the number of January birthdays. Given that P(a birthday occurs in January) = E(X) = np = 100, while the standard deviation is σ = 9.5743. Therefore, P(X > 130) = 1 - P(X ≤ 130) = 1 - P(Z ≤...) = 1 - 0.99914 = 0.00086.
You might be interested in
A security alarm requires a four-digit code. The code can use the digits 0–9 and the digits cannot be repeated. What is the appr
Leona [12618]
The estimated probability that the code consists solely of odd digits is 0.02381.
3 0
1 month ago
Read 2 more answers
Suppose you have two urns with poker chips in them. Urn I contains two red chips and four white chips. Urn II contains three red
Zina [12379]
There are several possible outcomes. The initial composition of the urns is as follows: Urn 1 contains 2 red chips and 4 white chips, totaling 6 chips, whereas Urn 2 has 3 red and 1 white, amounting to 4 chips. When a chip is drawn from the first urn, the probabilities are as follows: for a red chip, it is probability is (2 red from 6 chips = 2/6 = 1/2); for a white chip, it is (4 white from 6 chips = 4/6 = 2/3). After the chip is transferred to the second urn, two scenarios can arise: if the chip drawn from the first urn is white, then Urn 2 will contain 3 red and 2 white chips, making a total of 5 chips, creating a 40% chance for drawing a white chip. Conversely, if a red chip is drawn first, Urn 2 will contain 4 red and 1 white chip, which results in a 20% chance of drawing a white chip. This scenario exemplifies a dependent event, as the outcome hinges on the type of chip drawn first from Urn 1. For the first scenario, the combined probability is (the probability of drawing a white chip from Urn 1) multiplied by (the probability of drawing a white chip from Urn 2), equaling 26.66%. For the second scenario, the probabilities yield a value of 6%.
8 0
2 months ago
Jake forgot to replace the cap on a bottle of deodorant. The deodorant began to evaporate at the rate of 12% per day. If the ori
PIT_PIT [12445]

Answer:

graph representing the function f of x equals 30 multiplied by 0.88 raised to the exponent of x

Step-by-step explanation:

The deodorant starts to evaporate, indicating a mass reduction, thus 12% represents the decay rate. In exponential decay, the function's graphical representation adheres to the formula:

y=a(1-r)^x

Where a signifies the starting quantity (a=30), r is the decay rate (r=0.12) and x denotes the time intervals, measured in days for this case. By inserting the given values into the formula:

y=30(1-0.12)^x\\y=30(0.88)^x

Which aligns with the "graph representing the function f of x equals 30 multiplied by 0.88 raised to the exponent of x".

3 0
1 month ago
Other questions:
  • The function h(t) = –16t2 + 28t + 500 represents the height of a rock t seconds after it is propelled by a slingshot.What does h
    15·1 answer
  • Which of the following statements defines a​ function? Choose the correct answer below. A. A function is a set of ordered pairs
    13·2 answers
  • Bill launched a model rocket, and estimated its height h, In feet, after 1 seconds. His results are shown in the table
    11·1 answer
  • The weight, w, in tons of a school bus is related linearly to its seating capacity, p. a 60-passenger bus weighs 10 tons, and an
    15·2 answers
  • TIMED HURRY PLEASE!!!!!!!! the first three steps in writing f(x) = 40x + 5x2 in vertex form are shown. Write the function in sta
    5·2 answers
  • In 5 years, a bank account with a 4.5% annual interest rate earned $3,375 as simple interest. What was the principal amount of t
    13·2 answers
  • Which statement correctly names the congruent triangles and justifies the reason for congruence? ΔABC ≅ ΔFDE by HL ΔABC ≅ ΔFED b
    6·1 answer
  • In a local ice sculpture contest, one group sculpted a block into a rectangular based pyramid. The dimensions of the base were 3
    7·1 answer
  • Let g(x)= -2(3x+4)(x−1)(x−3)^2 be a polynomial function. Name all horizontal and vertical intercepts of the graph. State the end
    5·1 answer
  • Benjamin's credit card has an APR of 19%, calculated on the previous monthly balance, and a minimum payment of 2%, starting the
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!