We use cookies to ensure you have the best browsing experience on our website. Please read our cookie policy for more information about how we use cookies.
  1. Prepare
  2. Mathematics
  3. Probability
  4. Normal Distribution #3
  5. Discussions

Normal Distribution #3

Sort by

recency

|

14 Discussions

|

  • addsc7
     + 0 comments

    Answer:

    # Enter your code here. Read input from STDIN. Print output to STDOUT
import math
def get_function(x):
    mu = 70
    sig = 10
    gaussian_func = (1 / (sig * math.sqrt(2 * math.pi))) * math.exp(-((x - mu) ** 2) / (2 * sig ** 2))
    return gaussian_func

start_value = 20
end_value = 120
step = 0.0001

x = [start_value + i * step for i in range(int((end_value - start_value) / step) + 1)]
y0 = 0
y1 = 0
y2 = 0
y3 = 0

for i in range(len(x)):
    y0 += get_function(x[i]) * step
    if x[i] > 80:
        y1 += get_function(x[i]) * step

    if x[i] >= 60:
        y2 += get_function(x[i]) * step

    if x[i] < 60:
        y3 += get_function(x[i]) * step

y1 = y1 * 100 / y0
y2 = y2 * 100 / y0
y3 = y3 * 100 / y0

result1 = round(y1, 2)
result2 = round(y2, 2)
result3 = round(y3, 2)

print(str(result1))
print(str(result2))
print(str(result3))

  • cjckris
     + 0 comments

    from math import exp, factorial, pi, erf

    Cumulative Probability

    Probility that in a normal distribution the value is less than x.

    def CDF(x, mu, std): return 0.5*(1+erf((x-mu)/(std*((2**0.5)))))

  • Mandar_Inamdar
     + 0 comments

    Python code I used successfully:

    from scipy.stats import norm
a=100*(1-norm.cdf(80, loc=70, scale=10))
b=100*norm.sf(60, loc=70, scale=10)
c=100*norm.cdf(60, loc=70, scale=10)

print "%.2f" %a
print "%.2f" %b
print "%.2f" %c

  • ksvtu5379
     + 0 comments

    is thr ny negative value for (b)part??

  • JavaNewbie
     + 0 comments

    You have to laugh a little... especially after carefully reading the problem statement:

    If we can approximate the distribution of these grades by a normal distribution, what percent of the students ...

    The Devil Is In The Details. Calculate to four decimal places (what is typically found in printed tables).. then MULTIPLY by 100 to get two digits to the left and two digits to the right of the decimal point. Namely, the PERCENTAGE value.