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
laiz [17]
2 years ago
7

Which of the following probabilities is the greatest for a standard normal distribution? P (negative 1.5 less-than-or-equal-to z

less-than-or-equal-to negative 0.5) P (negative 0.5 less-than-or-equal-to z less-than-or-equal-to 0.5) P (0.5 less-than-or-equal-to z less-than-or-equal-to 1.5) P (1.5 less-than-or-equal-to z less-than-or-equal-to 2.5)
Mathematics
1 answer:
Dvinal [7]2 years ago
4 0

The probability P(-0.5 ≤ z ≤ 0.5) is the greatest for a standard normal distribution, and the value of P(-0.5 ≤ z ≤ 0.5) is 38.2% option second is correct.

<h3>What is a normal distribution?</h3>

It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.

We have a statement:

Which of the following probabilities is the greatest for a standard normal distribution:

The options are:

P(-1.5 ≤ z ≤ -0.5)

P(-0.5 ≤ z ≤ 0.5)

P(0.5 ≤ z ≤ 1.5)

P(1.5 ≤ z ≤ 2.5)

As we know from the normal distribution curve we can find the probability between the range given. At Z=0, the chance is 50-50.

From the Z-curve:

P(-1.5 ≤ z ≤ -0.5)  = 9.2% + 15% = 24.2%

P(-0.5 ≤ z ≤ 0.5) = 19.1% + 19.1% = 38.2%

P(0.5 ≤ z ≤ 1.5) = 15% + 9.2% = 24.2%

P(1.5 ≤ z ≤ 2.5) = 4.4% + 1.7% = 6.1%

Thus, the probability P(-0.5 ≤ z ≤ 0.5) is the greatest for a standard normal distribution, and the value of P(-0.5 ≤ z ≤ 0.5) is 38.2% option second is correct.

Learn more about the normal distribution here:

brainly.com/question/12421652

#SPJ1

You might be interested in
Draw a picture first, then use the Pythagorean Theorem to solve. Round
zavuch27 [327]

Answer:

your answer would be 9.4

Step-by-step explanation:

you'd have to plug in the numbers in the equation.

8^2 + 5^2 = c^2

64 + 25 = c^2

89 = c^2 then you'd do the square root of 89 which will give you 9.4 when rounded to the nearest tenth.

8 0
2 years ago
The longest side of a triangle is 5 in longer than the shortest side. The medium side is 4 in longer than the shortest side. If
aliina [53]

Answer: Shortest side = 6 inches, Medium side = 10 inches and Longest side = 11 inches

Step-by-step explanation: The perimeter has been given as 27 inches, and we know that the perimeter of any given figure is the addition of all sides. The sides are unknown yet, but we have clues as follows;

The longest side is 5 inches longer than the shortest side, hence the longest side equals s + 5. The medium side is 4 inches longer than the shortest side, hence the medium side equals s+ 4. Th shortest side remains s.

Therefore with the perimeter given as 27, we now have the expression;

s + s + 4 + s + 5 = 27

3s + 9 = 27

Subtract 9 from both sides of the equation

3s = 18

Divide both sides of the equation by 3

s = 6

Hence, the sides of the triangle are given as 6, (6+ 4) and (6+ 5), which is,

6 inches, 10 inches and 11 inches.

7 0
3 years ago
Travis planned to watch 4 dogs while his neighbors were out of town for a week. Each dog would need to eat 612 ounces of dog foo
Finger [1]
I believe it would be 2448 ounces. 4 X 612= 2448

8 0
3 years ago
Read 2 more answers
$12 for 8 pounds of peanuts (blank) per pound
rjkz [21]
To solve, divide the dollars by the pounds of peanuts to find the cost per pound:

12/8 =1.5 

So, it cost $1.50 per pound of peanuts.

Hope this helps!
5 0
3 years ago
Read 2 more answers
Calculate the speed of a car that goes 125 km in 2 hours ​
nataly862011 [7]

Answer:

64.5 km

Step-by-step explanation:

125/ 2

= 64.5 km/hr

4 0
2 years ago
Other questions:
  • What is the Y intercept in the equation Y equals 45X +65?
    6·1 answer
  • HELP ME WITH CALCULUS 1! I am stuck
    7·1 answer
  • The temperature on Monday was 1°C. The next day it was down 3 degrees. What temperature was it on tuesday ?
    7·1 answer
  • What is the answer to this question ?
    12·1 answer
  • Is a negative and a positive equal a negative or positive in mutiplication
    10·1 answer
  • Use the distributive property to rewrite the expression 3(x 5) without parentheses.
    7·1 answer
  • Complete the recursive formula of the geometric sequence −0.56 ,−5.6 ,−56 ,−560,..
    8·1 answer
  • You have just opened a new dance club, Swing Haven, but are unsure of how high to set the cover charge (entrance fee). One week
    6·1 answer
  • Jamie recorded vehicle turning choices at the intersection near his house. He organized the results in the table shown.
    7·2 answers
  • Offering brainliest!!! Find the Volume of each cylinder pictured below. Use 3.14 for π and round to the nearest tenth:
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!